Question

Find the hypotenuse of each isosceles right triangle when the legs are o the given measure. Given = 5”

Answer 1

In any right triangle,
(Hypotenuse)² = (one leg)² + (other leg)² .
In an isosceles right triangle, the legs have equal lengths, so
(Hypotenuse)² = (leg)² + (leg)² .
(Hypotenuse)² = 2 (leg)² .
Hypotenuse = √(2 leg²)
Hypotenuse = leg √2 .
In this particular isosceles right triangle,
Hypotenuse = 6 √2 cm.
leg √2 = 6 √2
leg = 6 cm