Nin the given figure, ABC is an equilateraltriangle, PQI AC and AC is

1.	Nin the given figure, ABC is an equilateraltriangle, PQI AC and AC is produced to Rsuch that CR- BP. Prove that QR bisects PCBP M
Answer» IN TRIANGLE OPQ AND OCR,CR = PQ (GIVEN)ANGLE PQO = ANGLE CRO (A.I.A, AS QP// AC OR AR AND QR ACTS AS A TRANSVERSAL)ANGLE QOP = ANGLE COR(V.O.A) SO TRIANGLE OPQ IS CONGRUENT TO TRIANGLE OCRAND AS BOTH ARE CONGRUENT THEIR AREA IS ALSO THE SAMESO, ar(OPQ) = ar(OPCR)

Nin the given figure, ABC is an equilateraltriangle, PQI AC and AC is produced to Rsuch that CR- BP. Prove that QR bisects PCBP M

Answer»

IN TRIANGLE OPQ AND OCR,CR = PQ (GIVEN)ANGLE PQO = ANGLE CRO (A.I.A, AS QP// AC OR AR AND QR ACTS AS A TRANSVERSAL)ANGLE QOP = ANGLE COR(V.O.A)

SO TRIANGLE OPQ IS CONGRUENT TO TRIANGLE OCRAND AS BOTH ARE CONGRUENT THEIR AREA IS ALSO THE SAMESO, ar(OPQ) = ar(OPCR)