Question

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 3 square 2

Answer 1

As the Pythagoreans discovered to their horror, the sides of the isosceles right triangle are in ratio $1:1:\sqrt 2$.

The hypotenuse is $\sqrt 2$ times the leg, so here is

$3 \sqrt{2} \times \sqrt{2} = 6$

Answer: 6