The point where the three angle bisectors of a

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Presentation transcript:

The point where the three angle bisectors of a triangle intersect. sides DC bisector bisects

BC BD Converse of the Angle Bisector Theorem DBE 31

Angle Bisector Theorem bisector same distance

PK PL PK PL x + 1 2x - 5 6

PE PF

equidistant LI c2 a2 + b2 152 LI2 + 122 81 LI2 9 LI LI 9

7x + 3 = 8x 3 = x 3x - 5 = 2x +5 x = 10 No, you need to know that ∠CBA and ∠CDA are right angles. c2 = a2 + b2 252 = LI2 + 202 625 = LI2 + 400 225 = LI2 LI = LK, so LK 1=15 15 = LI