The angular bisector RB of an oblique, scalene triangle PQR diveds the side PQ into two parts of lengths; PB =4 and QB = 6.4. A) if angle P=65.4deg and angle Q = 34.6deg, calculate lengths PR and QR B) verify the proportion PB/QB = PR/QR C) what is the definition of this property?

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The angular bisector RB of an oblique, scalene triangle PQR diveds the side PQ into two parts of lengths; PB =4 and QB = 6.4. A) if angle P=65.4deg and angle Q = 34.6deg, calculate lengths PR and QR B) verify the proportion PB/QB = PR/QR C) what is the definition of this property?

Mathematics
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measure angle R = 180-(P + Q) = 180-65.4-34.6 = 80 Using Sine law: PQ/sin(R) = RQ/sin(P) = RP/sin(Q) 10.4/sin(80) = RQ/sin(65.4) = RP/sin(34.6) RQ = 9.60 & RP = 6
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what property is that?
The angle bisector divides the opposite side in the ratio of the adjacent sides.

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