Geometry Problem 1211: Right Triangle, Altitude, Angle Bisector, 45 Degrees,
Metric Relations, Area. Online High School, College
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Triangle ABC is right angled at B and
BD is the altitude.
DE and DF are angle bisectors of triangles ADB and BDC, respectively. Prove that
(1)
;
(2);
(3) Area of triangle DEF =.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
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by Antonio Gutierrez
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Last updated: May 9, 2016
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