The internal angle bisectors of triangle ABC are the lines that bisect the angles inside the triangle into two equal angles.
Let us explore where the angle bisectors intersect the circumcircle and name the new triangle with points L, M, and N.
Is there a similarity between the angles of triangle ABC and triangle LMN? Using GSP lets see.
Internal Angle Bisectors1.gsp
What about the lengths of there sides?
Internal Angle Bisectors2.gsp
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