Question

Which point is the incenter of △ABC ?


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point

A right triangle ABC with right angle at C and vertical base A C is made. A D is angle bisector of angle B A C. B D is angle bisector of angle A B C. C F is angle bisector of angle A C B. Angle bisectors A D and B D and C F meet at an interior point D. G E is perpendicular bisector of side B C. Perpendicular bisectors of all three sides meet at point E. Point E is midpoint of side A B.

Answer 1

Answer:

Point D is the incenter of the ΔABC.

Step-by-step explanation:

Incenter is a point inside the triangle, where all the angle bisectors of all the angles of the triangle meet. Rest all the data, given about the perpendicular bisectors and points G and E is irrelevant and unnecessary.

D is the incenter of the circle, for more reference see the figure attached.

Answer 2

Answer: Point D

Step-by-step explanation: I got 100% on the test :)