1989 AHSME Problems/Problem 4
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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
.
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