Question

In the given figure,

AB || DC prove that

DM × BV = BM ✕ DU

Answer 1

Since ` ∆DMU ∼ ∆BMV`

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

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

By cross multiplication, we get `DMxxBVxxDUxxBM`

Hence proved that `DMxxBVxxDUxxBM`