# How do you find all the measures of the angles in a triangle that have the ratio of 1:3:5?

##### 1 Answer

Mar 6, 2017

If the given ratio is to be the ratio of the sides:

If the given ratio is to be the ratio of the angles:

#### Explanation:

**Case 1: ratio is ratio of lengths of sides**

The length of the two shorter sides of a triangle must be greater than the length of the third side.

**Case 2: ratio is ratio of angles**

If the smallest angle is

then the ratio

Since the sum of interior angles of a triangle is

and the angles are