Question

Find x. Assume that segments that appear tangent are tangent.

Please show me how to do it ,THANKS!

Answer 1

Assuming that CB is tangent, this is just a right triangle with a hypotenuse of 20 and a side of 12 so by the Pythagorean Theorem:

20^2=12^2+x^2

400=144+x^2

x^2=400-144

x^2=256

x=16