If A,B and C are respectively the mid points of the sides PQ, QR and PR of a triangle and PS is the perpendicular from P on QR, prove that A,C,B and S are concyclic.

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Δ P Q R

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A

and

B

are respectively the points on the sides

P Q

and

P R

of a triangle

P Q R

such that

P Q = 12.5 c m, P A = 5 c m, B R = 6 c m

and

P B = 4 c m

. Is

A B ∥ Q R

? Give reasons for your answer.

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