# A triangle with sides 7cm, 8cm, and 9cm is formed by connecting the centers of the three circles that are tangent to each other. Which of the following is the circumference of the largest circle?

##### 1 Answer

Aug 9, 2018

#### Explanation:

Let **radii** of the **circles touching**

**each other.**

If **respective centres,** then, from

**Geometry,** we know that,

So, by what is given, we have,

**Adding** these,

Utilising **last eqn.,** we get,

Consequently, the **circumference** of the **largest circle,** i.e.,