Question

I need to find the value of x​

Answer 1

9

Explanation:

Radius = x

The triangle in the given image is a right angled triangle.

By Pythagoras theorem,

x² + 12² = ( x + 6 )²

x² + 144 = x² + 36 + 12x

x² - x² = 36 - 144 + 12x

0 = - 108 + 12x

12x = 108

x = 108 / 12

x = 9