Use Trigonometric Ratios and Pythagorean Theorem to Solve Right Triangles: CCSS.Math.Content.HSG-SRT.C.8 - Common Core: High School - Geometry
Card 0 of 12
Determine whether a triangle with side lengths 
, 
, and 
is a right triangle.
Determine whether a triangle with side lengths 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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 
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
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