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

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Question

In the given figure,

AB || DC prove that

DM × BV = BM ✕ DU

Sum

Solution

Since ` ∆DMU ∼ ∆BMV`

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

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

By cross multiplication, we get `DMxxBVxxDUxxBM`

Hence proved that `DMxxBVxxDUxxBM`

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Chapter 7: Triangles - Exercise 7.8 [Page 125]

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RD Sharma Mathematics [English] Class 10
Chapter 7 Triangles
Exercise 7.8 | Q 13.2 | Page 125

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