Question

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

a.

8

c.

7


b.

5

d.

14

Answer 1

Use Pythagorean's Theorem here. If BC is a tangent, the point where it meets the circle, the point of tangency, is a right angle.
`10 ^(2) -6 ^(2) = x^(2)` 100-36=64 and the square root of 64 is 8. So x = 8, choice a from above.