Angle Bisectors in a Triangle

E

H

K

angle	degrees	angle	degrees
CAM	36.57	BAM	36.57
ABM	27.70	CBM	27.70
BCM	25.73	ACM	25.73

segme nt	length	segme nt	length
DE	3.14	EF	3.14
GH	2.24	HI	2.24
JK	3.59	KL	3.59

E

F

D

H

G

I

K

J

L

M

A

B

C

The angle bisectors of a triangle ABC meet in a single point called the incenter. The incenter M is equidistant from the three sides of the triangle. The incenter is the center of the incircle, the largest circle inside ABC. The incircle is tangent to all three sides.

You can change the locations of E, H, and K on the angle bisectors.

If DE and EF are the perpendiculars from E to AC and AB, then |DE| = |EF|. Similarly, |GH| = |HI| and |JK| = |KL|.