Online Math: Geometry Problem 1165:
Right Triangle, Circle, Center, Radius, Cathetus,
Perpendicular, 90 Degrees, Perimeter, Metric Relations. Level: School, College
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The figure below shows a right triangle ABC
(angle B = 90 degrees), the circle of center A and radius AB meets AC at D. The circle of center C and radius CB meets AC at E.
EF and DG are perpendicular to AB and BC, respectively. FE and
GD extended meet at H. If the perimeter of triangle DEH = 6,
find the measure of FG.

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Typography of problem 1165.
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| by Antonio Gutierrez
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Last updated: Nov 14, 2015
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