Question

In the diagram, the segment x units long is tangent to the circle. Solve for x.

Answer 1

I hope this helps you




5^2+x^2=(5+6)^2


25+x^2=121


x^2=86

x=square root of 86


x nearest 9,27

Answer 2

x = sqrt((5 + 6)^2 - 5^2) = sqrt(11^2 - 5^2) = sqrt(121 - 25) = sqrt(96) = 9.8