Question

Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.

Given = 6 square root two cm

Answer 1

we have given
hypotenuse=6√2
let us suppose leg =a
using Pythagorean theorem
a^2+a^2=(6√2)^2
2a^2=36*2
diving by 2 on both sides
a^2=36
taking square root on both sides
√a^2 =√36
a=6
therefore
the leg of each isosceles right triangle is 6