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If AC measures 8 and BC measures 12, what is the

length of the radius of this circle?
a. 8
b. 12
c. 04√13
d. 02√26

If AC measures 8 and BC measures 12, what is the length of the radius of this circle-example-1
User Jwendl
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1 Answer

6 votes

Answer:


\boxed{4√(13)}

Explanation:

We see that there is a right triangle ΔABC in the figure such that AC and BC are the legs, and the radius is the hypotenuse. Using the Pythagorean theorem (
a^2+b^2=c^2), we get that
8^2+12^2=r^2. Simplifying the left side and taking the square root, we find that the radius is
\boxed{4√(13)}, or C.

User Thevs
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