Question

consider triangle def. the legs have a length of 36 units. what is the length of the hypotenuse of the triangle? 18 units 18√2 units 36 units 36√2 units

Explanation:

Step1: Recall Pythagorean theorem for 45 - 45-90 triangle

In a 45 - 45-90 triangle, if leg length is \(a\), hypotenuse \(c=a\sqrt{2}\).

Step2: Substitute leg length value

Here \(a = 36\), so \(c=36\sqrt{2}\).

Answer:

36\(\sqrt{2}\) units