Point B is a point of tangency. Find the radius r of ☉C.

necessaryh

necessaryh

Answered question

2021-01-25

Point B is a point of tangency. Find the radius r of C.

Answer & Explanation

comentezq

comentezq

Skilled2021-01-26Added 106 answers

Since point B is a point of tangency, then AB¯¯¯¯¯BC¯¯¯¯¯. Hence, B is a right angle and ABC is a right triangle. Using Pythagorean Theorem,
AB2+BC2=AC2
142+r2=(r+7)2
196+r2=r2+14r+49
196=14r+49
147=14r
10.5=r
or
r=10.5

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

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