Question

if the legs of an isosceles right triangle have a length of 15 square root 2 feet , the hypotenuse will have a lenght of _____ feet

Answer 1

Hypotenuse = square root of [2*(15 square root 2)^2]

Answer 2

Recall, for a right angle triangle, the hypotenuse squared is equal to the sum of the remaining two squared sides.

Hence, c² = (15√2)² + (15√2)²
c² = 450 + 450 = 900
c = 30
Thus, the hypotenuse will have a length of 30 feet.