# How do you find the angles of a triangle given side a = 10, side b = 10, base = 15?

##### 1 Answer

Sep 17, 2016

see below.

#### Explanation:

Given is that 2 sides are of same length i.e. 10cm. This tells us that this is an isosceles triangle.

*{ Isosceles triangles have 2 same angles and one different angle* .}

so using above picture let AC and BC be 10cm. And AB be 15 cm.

**Now find CD using Pythagoras theorem,** *{then later the angle will be found}*

*{7.5 is half of 15 i.e length DB}*

**Now apply trigonometric ratio(s)**

Hence

Therefore

Now its simple,

hence