Two right triangles ABC AND DBC are drawn on the same hypotenuse BC and on the same side of BC.

Question

Two triangles ABC AND DBC Are drawn on the same hypotenuse BC and on the same side of BC.if AC and BD intesect at p

Prove-- AP*PC=BP*PD

Answer 1

According to the above diagram

ΔABC, ΔDBC are right angle triangles at A and D respectively.  We use Pythagoras theorem in all the right angle Δs.  Also, ΔDPC is a right angle Δ at D.

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