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Turkey Junior Olympiad 1998, Part II - P1

Source:

January 18, 2013
geometryperimeter

Problem Statement

Let FF, DD, and EE be points on the sides [AB][AB], [BC][BC], and [CA][CA] of △ABC\triangle ABC, respectively, such that △DEF\triangle DEF is an isosceles right triangle with hypotenuse [EF][EF]. The altitude of △ABC\triangle ABC passing through AA is 1010 cm. If ∣BC∣=30|BC|=30 cm, and EF∥BCEF \parallel BC, calculate the perimeter of △DEF\triangle DEF.
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