Wednesday, 24 January 2018

Let ABC be a ∆ with circumcircle £ and in centre I. Let internal angle bisectors of ∆ ABC meet £ at A',B',C'. respectively. Let B'C' intersect AA'in P and AC in Q,and let BB' intersect AC in R.
Suppose the quadrilateral PIRQ is a kite I.e. IP=IR AND QP=QR.
PROVE that ∆ ABC is equilateral.
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