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Internal bisector of an angle angle A o...

Internal bisector of an angle `angle A` of triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent the sides of DABC then

A

AE is H.M. of b and c

B

`AD = (2bc)/(b+c) cos (A//2)`

C

`EF = (4bc)/(b+c) sin (A//2)`

D

The triangle AEF is isosceles

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A, B, C, D
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