Question

In an isosceles right triangle, if the length of the hypotenuse is 32 cm, how long is each leg

Answer 1

In an isosceles right triangle, each leg is equal in length. Using the Pythagorean theorem, we can find the length of each leg when the hypotenuse is known.

Step-by-step explanation:

In an isosceles right triangle, the two legs are congruent. So, let's assume the length of each leg is x.

Using the Pythagorean theorem, we know that the sum of the squares of the two legs is equal to the square of the hypotenuse. Therefore, we have:

x^2 + x^2 = 32^2

2x^2 = 1024

x^2 = 512

x = √512

x ≈ 22.63 cm

So, each leg is approximately 22.63 cm long.