One leg of an isosceles right triangle measures 6 inches. Find the length of the hypotenuse in simplest radical form

Question

One leg of an isosceles right triangle measures 6 inches. Find the length of the hypotenuse in simplest radical form

Answer 1

Isosceles right triangle means two sides are exactly the same length.

So,

One leg=6inches then that means the other leg measures the same.

Now we can use Pythagorean Theorem to solve for the Isosceles right triangle.

Pythagorean Theorem:

a²+b²=c²

6²+6²=c² <---- now solve for c which represents the hypotenuse

36+36=c²

72=c²

√72=√c²

√36*2=c

6√2=c