Geometry Homework

Question

AB is tangent to circle C and measures 19. BC = 6 Find AC to two decimal places.

A. 19.00

B. 18.03

C. 25.00

D. 19.92

Answer 1

From the givens, I draw a sketch with C in the center, B a point on the circle, and A at some distance outside the circle such that AB is tangent. Because it is tangent, angle B is 90 degrees and we can use Pythagorean theorem: (AC)² = 19² + 6². Take the square root of this sum to get answer D.