Question

Find the leg of an isosceles right triangle when the hypotenuse measures 8

Answer 1

Answer:

4$\sqrt{2}$

Step-by-step explanation:

ratio of leg to hypotenuse in a 45-45-90° triangle is 1 : $\sqrt{2}$

we can use this proportion to solve the problem:

let 'x' = leg

x/8 = 1/$\sqrt{2}$

cross-multiply:

$\sqrt{2}$ x = 8

x = 8 / $\sqrt{2}$

if you multiply top and bottom by $\sqrt{2}$ you will get 4$\sqrt{2}$