Question

In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Answer 1

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units