Online Geometry Problem 803: Right Triangle, Altitude, Angle Bisector,
Perpendicular, Measurement. Level: High School,
SAT Prep, College,
Mathematics Education

The figure below shows a
right triangle ABC with the altitude BH. The angle bisector AD meets BH
at F, DE is perpendicular to BH, and BE = 3. Find the measure of FH. See
also:
Problem 803 in motion.