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In fig., D is a point on hypotenuse AC ...

In fig., D is a point on hypotenuse AC of `DeltaA B C ,D M_|_B C`and `D N_|_A B`. Prove that
(i) `D M^2=D N*M C`
(ii) `D N^2=D M*A N`

Text Solution

Verified by Experts

1)BNDM is rectangle
BM=DN
DM=BN
In`/_DMC and /_BMD`
`/_C=/_D`
`/_M=/_M`
`/_DMC and /_BMD`(AAA)
`(DM)/(BM)=(MC)/(MD)`
...
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