I need help with number 5 lengths of the length of the imAso

I need help with number 5

lengths of the length of the imAsown sides ora 30-60-oco triangle given the keeger lei

Solution

by pythogorus theorem

hypotenuse²= opposite side²+ adjacent side²

in 45-90-45 triangle ,  opposite side=adjacent side

let opposite side=adjacent side=x

hypotenuse²=x²+x²

hypotenuse²=2x²

given hypotenuse=62

(62)²=2x²

2x²=72

x²=36

x=6

so each leg =6 units