Question

An isosceles right triangle has legs of equal length. If the hypotenuse is 26 centimeters long, find the length of each leg.

Answer 1

Answer: 13√2

Explanation:

• 45-45-90 triangle follows that the hypotenuse will always be √2*leg(x)

• So, 26/2 = 13; multiply with √2 and square it for Pythagorean Theorem

• (13√2)^2 + (13√2)^2 = 676 ✅

• 26^2 = 676 ✅

• a^2 + b^2 = c^2