Question

15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answer 1

x = 13√3

y = 13

Explanation:

The side ratios in a 30-60-90 triangle are ...

1 : √3 : 2

In order to make the long sides match, we need to multiply these by 13:

1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26

Matching values, we find ...

x = 13√3

y = 13