Question

What is the value of x?


Enter your answer in the box.

x = ___

Answer 1

Check the picture below.

`2a=8√(2)\implies a=\cfrac{8√(2)}{2}\implies a=\cfrac{8}{√(2)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 45-45-90 rule}}{a=x√(2)\implies} \cfrac{8}{√(2)}=x√(2)\implies \cfrac{8}{√(2)\cdot√(2)}=x\implies \cfrac{8}{2}=x\implies \boxed{4=x}`