Difference between revisions of "1964 AHSME Problems/Problem 13"
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Revision as of 09:59, 3 July 2018
Problem 13
A circle is inscribed in a triangle with side lengths , and . Let the segments of the side of length , made by a point of tangency, be and , with . What is the ratio ?
Solution
Label our triangle where that , , and . Let , , and be the tangency points of , , and respectively. Let , which implies . Thus and .
Since , . Thus , hence our answer is .