Question

How to do radicals in a 45-45-90 triangle?

Answer 1

1:1: square root 2

that is it.

Answer 2

If the question is to find the value of u and v, use sin-cos-tan ratio to solve it

Find the value of v
v/12 = tan 45°
v/12 = 1
v = 12
The value of v is 12

Find the value of u
sin 45° = v/u
u = v/sin 45°
u = 12/(√2/2)
u = 24/√2
rationalize
u = 24/√2 × √2/√2
u = 12√2
The value of u is 12√2