Question

What is the value of x?

Answer 1

Since the line bisects the right angle of the larger triangle, the angle opposite 3 in the triangle on top is 45 degrees (90/2 = 45).

sin 45 = 3/x

$\frac{1}{\sqrt{2} }$ = $\frac{3}{x}$

x = 3$\sqrt{2}$