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In the Given Figure,Ab || Dc Prove that Dm × Bv = Bm ✕ Du - Mathematics

Sum

In the given figure,

AB || DC prove that

DM × BV = BM ✕ DU

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Solution

Since ` ∆DMU ∼ ∆BMV`

`(DM)/(BM)=(MU)/(MV)=(DU)/(BV)`

`(DM)/(BM)=(DU)/(BV)`

By cross multiplication, we get `DMxxBVxxDUxxBM`

Hence proved that `DMxxBVxxDUxxBM`

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 13.2 | Page 125
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