In a right triangle ABC, right-angled at B, D is a point on hypotenuse

1.	In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that BD∼AC. If DP∼AB and DQ∼BC then prove that (a) DQ2=DP.QC (b) DP2=DQ.AP
Answer» In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that $B D \sim A C$ . If $D P \sim A B$ and $D Q \sim B C$ then prove that (a) $D Q^{2} = D P . Q C$ (b) $D P^{2} = D Q . A P$

In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that BD∼AC. If DP∼AB and DQ∼BC then prove that (a) DQ2=DP.QC (b) DP2=DQ.AP

Answer»

In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that $B D \sim A C$ . If $D P \sim A B$ and $D Q \sim B C$ then prove that

(a) $D Q^{2} = D P . Q C$

(b) $D P^{2} = D Q . A P$

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In a right triangle ABC, right-angled at B, D is a point on hypotenuse such that BD∼AC. If DP∼AB and DQ∼BC then prove that (a) DQ2=DP.QC (b) DP2=DQ.AP

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