Use Trigonometric Ratios and Pythagorean Theorem to Solve Right Triangles: CCSS.Math.Content.HSG-SRT.C.8 - Geometry
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Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are equal, we can conclude that the side lengths are a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are equal, we can conclude that the side lengths are a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for c.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for c.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths 5, 12, and 13 is a right triangle.
Determine whether a triangle with side lengths 5, 12, and 13 is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in 5 for
, 12 for
, and 13 for
.
If both sides are equal, then the side lengths result in a right triangle.
52 + 122 = 132
25 + 144 = 169
169 = 169
Since both sides are equal, we can conclude that this is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in 5 for , 12 for
, and 13 for
.
If both sides are equal, then the side lengths result in a right triangle.
52 + 122 = 132
25 + 144 = 169
169 = 169
Since both sides are equal, we can conclude that this is a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are equal, we can conclude that the side lengths are a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are equal, we can conclude that the side lengths are a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for c.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for c.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above
Determine whether a triangle with side lengths
,
, and
is a right triangle.
Determine whether a triangle with side lengths ,
, and
is a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.

Now we simply plug in
for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.

Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
To figure this problem out, we need to recall the Pythagorean Theorem.
Now we simply plug in for
,
for
, and
for
.
If both sides are equal, then the side lengths result in a right triangle.
Since both sides are not equal, we can conclude that the side lengths are not a right triangle.
Compare your answer with the correct one above