A right triangle ABC,circumscribes a circle of radius r. If AB and BC are of lengths 5 cm and 6 cm respectively, find the value of r.

Explanation

With the given details, we can create the diagram.

Please refer to the video for the diagram.

Here, circle is touching the triangle at points `P, Q,R`.

As `ABC` is aright angle triangle,

`AC^2 = AB^2+BC^2 = 8^2+6^2 = 100`

`=> AC = 10cm`

From the diagram,

`BR = BP = r`

...