Question

Please help I'm not sure how to solve this (it would be more helpful for a way to solve it rather than an answer)

Answer 1

Explanation:

We will use the Pythagorean Theorem to determine if these lengths for a right triangle.

This theorem states, for a right triangle:

a2+b2=c2

Where a and b are the base and height and c is the hypotenuse which is also the longest length.

Substitute the values into this equation and see if both sides of the equation are equal. If they are the lengths form a right triangle. If they are not equal then they would not form a right triangle.

362+772=852

1296+5929=7225

7225=7225

Because both sides of the equation are equal these lengths do form a right triangle.

(not the actual answer)

Answer 2

For it to form a right triangle, it would satisfy the pythagorean theorem
a^2 + b^2 = c^2....where a and b are the legs and c is the hypotenuse...keep in mind, the hypotenuse is the biggest side.

so lets check it...
a^2 + b^2 = c^2
57^2 + 76^2 = 95^2
3249 + 5776 = 9025
9025 = 9025 (correct)

and since it satisfies the pythagorean theorem, it is a right triangle