Question

Find the missing lengths. Leave your answers as radicals in simplest form.

Answer 1

y = 5√2/2

x = 5

Explanation:

First find y using the tan method: opposite/adjacent

tan(45) = 5√2/2 ÷ y

y = 5√2/2 ÷ tan(45)

y = 5√2/2

Then find x using the pythagoris theorem: c^2 = a^2 + b^2

x = √ (5√2/2)^2 + (5√2/2)^2

x = 5