Question
In the given figure,
AB || DC prove that
DM × BV = BM × DU
AB || DC prove that
DM × BV = BM × DU
✓
Answer
Since $\triangle\text{DMU}\sim\triangle\text{BMV}$
$\frac{\text{DM}}{\text{BM}}=\frac{\text{MU}}{\text{MV}}=\frac{\text{DU}}{\text{BV}}$
$\frac{\text{DM}}{\text{BM}}=\frac{\text{DU}}{\text{BV}}$
By cross multiplication, we get,
DM × BV = DU × BM
Hence proved that DM × BV = DU × BM.
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