MathDB

Given a triangle

ABC

, with right

\angle A

, we know: the point

T

of tangency of the circumference inscribed in

ABC

with the hypotenuse

BC

, the point

D

of intersection of the angle bisector of

\angle B

with side AC and the point E of intersection of the angle bisector of

\angle C

with side

AB

. Describe a construction with ruler and compass for points

A

B

, and

C

. Justify.

Problem Statement