Difference between revisions of "1989 AHSME Problems/Problem 4"
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Revision as of 11:43, 23 September 2012
Problem
In the figure, is an isosceles trapezoid with side lengths , , and . The point is on and is the midpoint of hypotenuse in right triangle . Then
Solution
Drop perpendiculars from and ; then the triangle is similar to but with corresponding sides of half the length. and , hence .