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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