Difference between revisions of "1974 AHSME Problems/Problem 23"
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+ | [[Category:Introductory Geometry Problems]] | ||
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Latest revision as of 11:44, 5 July 2013
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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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