Question

All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?​

Answer 1

Explanation:

Given

See attachment

Required

The perimeter of ABC

First, calculate the lengths of AC and BC.

From the attachment.

So, we have:

Also:

Recall that:

So:

So, we have:

To calculate BC, we have:

The perimeter is then calculated as: