Problem 28 with Solution: Right Triangle, Altitude, Inradius, Tangency Points,
Congruence,
Measure.
Level: High School, College, SAT Prep.
In triangle ABC,
angle B is a right angle. BD is the altitude. r_{1},
and r_{2}, are the inradii of the triangles ADB, and
BDC respectively, the points E, F, and G are points of tangency.
Prove that
.

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