Question

P and Q are centers of the two circles which intersect at R as given in the figure. Prove that PQ=QR=PR. Mention the Euclid's axioms used here.

Answer 1

since radii of a circle are equal therefore PQ=PR=QR. Euclid's axiom used here is that if one thing is equal to another thing and that thing is equal to the third thing then the first one one automatically becomes equal to the third.