How to find the height of an equilateral triangle - Math
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What is the height of an equilateral triangle with a side length of 8 in?
What is the height of an equilateral triangle with a side length of 8 in?
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of 
, 
, and 
. The hypoteneuse, the side opposite the 90 degree angle, is the full length of one side of the triangle and is equal to 
. Using this information, we can find the lengths of each side fo the special triangle.
The side with length 
will be the height (opposite the 60 degree angle). The height is 
inches.
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of
The side with length
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An equilateral triangle has a side length of 
. What is the triangle's height 
?
An equilateral triangle has a side length of
The altitude, 
, divides the equilateral triangle into two 
right triangles and divides the bottom side in half.
In a 
right triangle, the sides of the triangle equal 
, 
, and 
. In these equations 
equals the length of the smallest side, which in our triangle is 
or 
.
In this scenario:
and
Therefore,
The altitude,
In a
In this scenario:
and
Therefore,
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What is the height of an equilateral triangle with side 6?
What is the height of an equilateral triangle with side 6?
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the 
) is 
.
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the
Compare your answer with the correct one above
An equilateral triangle has a side length of 
. What is its height, 
?
An equilateral triangle has a side length of
An altitude slices an equilateral triangle into two 
triangles. These triangles follow a side-length pattern. The smallest of the two legs equals 
and the hypotenuse equals 
. By way of the Pythagorean Theorem, the longest leg or 
.
Therefore, we can find the height of the altitude of this triangle by designating a value to 
. The hypotenuse of one of the 
is also the side of the original equilateral triangle. Therefore, one can say that 
and 
.
An altitude slices an equilateral triangle into two
Therefore, we can find the height of the altitude of this triangle by designating a value to
Compare your answer with the correct one above
Find the height of the following equilateral triangle:
Find the height of the following equilateral triangle:
Each angle in an equilateral triangle is 
.
Use the formula for 
triangles in order to find the length of the height.
The formula is:
Where 
is the length of the side opposite the 
If we were to create a 
triangle by drawing the height, the length of the side is 
, the base is 
, and the height is 
.
Each angle in an equilateral triangle is
Use the formula for
The formula is:
Where
If we were to create a
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Solve for the value of X in the following equilateral triangle:
Solve for the value of X in the following equilateral triangle:
If we draw a line segment between X and the base of the triangle, we form a 
triangle.
We can use the relationships between the sides of a 
triangle in order to find the length of X.
We know the base opposite the 
is 
.
The value of the height opposite the 
must then be 
, or 
.
Therefore, the value of X will be twice the value of the height:
If we draw a line segment between X and the base of the triangle, we form a
We can use the relationships between the sides of a
We know the base opposite the
The value of the height opposite the
Therefore, the value of X will be twice the value of the height:
Compare your answer with the correct one above
What is the height of an equilateral triangle with a side length of 8 in?
What is the height of an equilateral triangle with a side length of 8 in?
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of , , and . The hypoteneuse, the side opposite the 90 degree angle, is the full length of one side of the triangle and is equal to . Using this information, we can find the lengths of each side fo the special triangle.
The side with length will be the height (opposite the 60 degree angle). The height is inches.
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of
The side with length
Compare your answer with the correct one above
An equilateral triangle has a side length of . What is the triangle's height ?
An equilateral triangle has a side length of
The altitude, , divides the equilateral triangle into two right triangles and divides the bottom side in half.
In a right triangle, the sides of the triangle equal , , and . In these equations equals the length of the smallest side, which in our triangle is or .
In this scenario:
and
Therefore,
The altitude,
In a
In this scenario:
and
Therefore,
Compare your answer with the correct one above
What is the height of an equilateral triangle with side 6?
What is the height of an equilateral triangle with side 6?
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the ) is .
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the
Compare your answer with the correct one above
An equilateral triangle has a side length of . What is its height, ?
An equilateral triangle has a side length of
An altitude slices an equilateral triangle into two triangles. These triangles follow a side-length pattern. The smallest of the two legs equals and the hypotenuse equals . By way of the Pythagorean Theorem, the longest leg or .
Therefore, we can find the height of the altitude of this triangle by designating a value to . The hypotenuse of one of the is also the side of the original equilateral triangle. Therefore, one can say that and .
An altitude slices an equilateral triangle into two
Therefore, we can find the height of the altitude of this triangle by designating a value to
Compare your answer with the correct one above
Find the height of the following equilateral triangle:
Find the height of the following equilateral triangle:
Each angle in an equilateral triangle is .
Use the formula for triangles in order to find the length of the height.
The formula is:
Where is the length of the side opposite the
If we were to create a triangle by drawing the height, the length of the side is , the base is , and the height is .
Each angle in an equilateral triangle is
Use the formula for
The formula is:
Where
If we were to create a
Compare your answer with the correct one above
Solve for the value of X in the following equilateral triangle:
Solve for the value of X in the following equilateral triangle:
If we draw a line segment between X and the base of the triangle, we form a triangle.
We can use the relationships between the sides of a triangle in order to find the length of X.
We know the base opposite the is .
The value of the height opposite the must then be , or .
Therefore, the value of X will be twice the value of the height:
If we draw a line segment between X and the base of the triangle, we form a
We can use the relationships between the sides of a
We know the base opposite the
The value of the height opposite the
Therefore, the value of X will be twice the value of the height:
Compare your answer with the correct one above
What is the height of an equilateral triangle with a side length of 8 in?
What is the height of an equilateral triangle with a side length of 8 in?
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of , , and . The hypoteneuse, the side opposite the 90 degree angle, is the full length of one side of the triangle and is equal to . Using this information, we can find the lengths of each side fo the special triangle.
The side with length will be the height (opposite the 60 degree angle). The height is inches.
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of
The side with length
Compare your answer with the correct one above
An equilateral triangle has a side length of . What is the triangle's height ?
An equilateral triangle has a side length of
The altitude, , divides the equilateral triangle into two right triangles and divides the bottom side in half.
In a right triangle, the sides of the triangle equal , , and . In these equations equals the length of the smallest side, which in our triangle is or .
In this scenario:
and
Therefore,
The altitude,
In a
In this scenario:
and
Therefore,
Compare your answer with the correct one above
What is the height of an equilateral triangle with side 6?
What is the height of an equilateral triangle with side 6?
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the ) is .
When you draw the height in an equilateral triangle, it makes two 30-60-90 triangles. Because of that relationship, the height (which is across from the
Compare your answer with the correct one above
An equilateral triangle has a side length of . What is its height, ?
An equilateral triangle has a side length of
An altitude slices an equilateral triangle into two triangles. These triangles follow a side-length pattern. The smallest of the two legs equals and the hypotenuse equals . By way of the Pythagorean Theorem, the longest leg or .
Therefore, we can find the height of the altitude of this triangle by designating a value to . The hypotenuse of one of the is also the side of the original equilateral triangle. Therefore, one can say that and .
An altitude slices an equilateral triangle into two
Therefore, we can find the height of the altitude of this triangle by designating a value to
Compare your answer with the correct one above
Find the height of the following equilateral triangle:
Find the height of the following equilateral triangle:
Each angle in an equilateral triangle is .
Use the formula for triangles in order to find the length of the height.
The formula is:
Where is the length of the side opposite the
If we were to create a triangle by drawing the height, the length of the side is , the base is , and the height is .
Each angle in an equilateral triangle is
Use the formula for
The formula is:
Where
If we were to create a
Compare your answer with the correct one above
Solve for the value of X in the following equilateral triangle:
Solve for the value of X in the following equilateral triangle:
If we draw a line segment between X and the base of the triangle, we form a triangle.
We can use the relationships between the sides of a triangle in order to find the length of X.
We know the base opposite the is .
The value of the height opposite the must then be , or .
Therefore, the value of X will be twice the value of the height:
If we draw a line segment between X and the base of the triangle, we form a
We can use the relationships between the sides of a
We know the base opposite the
The value of the height opposite the
Therefore, the value of X will be twice the value of the height:
Compare your answer with the correct one above
What is the height of an equilateral triangle with a side length of 8 in?
What is the height of an equilateral triangle with a side length of 8 in?
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of , , and . The hypoteneuse, the side opposite the 90 degree angle, is the full length of one side of the triangle and is equal to . Using this information, we can find the lengths of each side fo the special triangle.
The side with length will be the height (opposite the 60 degree angle). The height is inches.
An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees.
To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. The special right triangle gives side ratios of
The side with length
Compare your answer with the correct one above
An equilateral triangle has a side length of . What is the triangle's height ?
An equilateral triangle has a side length of
The altitude, , divides the equilateral triangle into two right triangles and divides the bottom side in half.
In a right triangle, the sides of the triangle equal , , and . In these equations equals the length of the smallest side, which in our triangle is or .
In this scenario:
and
Therefore,
The altitude,
In a
In this scenario:
and
Therefore,
Compare your answer with the correct one above