1974 AHSME Problems/Problem 23
Problem
In the adjoining figure and are parallel tangents to a circle of radius , with and the points of tangency. is a third tangent with as a point of tangency. If and then is
Solution
Drop the perpendicular from to and let the foot be . Note that is a rectangle. Also, from Two Tangents, and , so . Therefore, from the Pythagorean Theorem on , . We now see that .
See Also
1974 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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