Question

Find the missing side lengths leave your answers as radicals in simplest form

Answer 1

14

Explanation:

To find x, you will need to use sine. If you want to find y, use cosine:

sin 45 = x / 14 sqrt(2)

x = 14

(Since this is a 45 45 90 special triangle, x and y have the same length)

Since I talk about special triangles, 45 45 90 triangles are very simple:

To find the other two side lengths, just divide the hypotenuse by sqrt 2

14 sqrt(2) / sqrt(2) = 14

So both ways will still lead to 14