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DI 15. Through any point in the bisector of an angle,a straight line is drawn parallel to either armof the angle. Prove that the triangle so formedis isosceles.N |
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Answer» e here's your answer Consider ∠XYZ, OY bisects ∠XYZ, OP∥YZ and OB∥YZOY bisects ∠XYZHence, ∠PYO=∠OYZ (1)Now, PO∥YZHence, ∠OYZ=∠POY (ALTERNATE angles) (2)THUS, from (1) and (2)∠PYO=∠POYor △POY is an Isosceles triangleSimilarly, △OBY is an Isosceles triangle.solution |
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