SOLUTION: 1. OR is tangent to circle O at P. If OP = 7 cm and PQ = 24 cm, then OQ = ?

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Question 1205275: 1. OR is tangent to circle O at P.
If OP = 7 cm and PQ = 24 cm, then OQ = ?

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
1. OR (I'm sure "OR" was a typo and you meant PQ) is tangent to circle O at P.
If OP = 7 cm and PQ = 24 cm, then OQ = ?



You know that angle OPQ is a right angle because a tangent is perpendictular
to a radius drawn to the point of tangency. So triangle OPQ is a right 
triangle, and you may use the Pythagorean theorem to find the hypotenuse OQ.

%28hypotenuse%5E%22%22%29%5E2%22%22=%22%22%28leg%5B1%5D%29%5E2%2B%28leg%5B2%5D%29%5E2

%28OQ%5E%22%22%29%5E2%22%22=%22%22%28OP%5E%22%22%29%5E2%2B%28PQ%5E%22%22%29%5E2

%28OQ%5E%22%22%29%5E2%22%22=%22%22%287%5E%22%22%29%5E2%2B%2824%5E%22%22%29%5E2

%28OQ%5E%22%22%29%5E2%22%22=%22%2249%2B576

%28OQ%5E%22%22%29%5E2%22%22=%22%22625

OQ%22%22=%22%22sqrt%28625%29

OQ%22%22=%22%2225

Edwin