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Geometry Problem 333. Circle inscribed in a semicircle, Perpendicular to common tangent.
Level: High School, College, SAT Prep.
The figure shows a circle C inscribed
in a semicircle with diameter AB. D and E are the tangency
points and DH is perpendicular to the common tangent EF. If AD =
a, BD = b, and DH = x, prove that
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