Question

Find the value of x .. assume that segments that appear to be tangent are tangent .

Answer 1

sqrt(277) =x

x is approximately 16.64331698

Explanation:

This is a right triangle since 14 is tangent to the circle and 9 is a radius

We can use the Pythagorean theorem to solve this problem

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x