Question

m is the midpoint of side cd of a parallelogram ABCD bs intersects ac in n and ad produce in e prove that en=2bn​

Answer 1

$In △BMC and  △EMD</p><p></p><p>$

$∠BMC=∠EMD  [Vertically opposite]</p><p></p><p>$

$MC=DM [Given]</p><p></p><p>$

$∠BCM=∠EDM [Alternate angles]</p><p></p><p>$

$∴△BMC≅△EMD [By ASA]</p><p></p><p>$

$Hence, BC=DE [By CPCT] →(1)</p><p></p><p>$

$AE=AD+DE=BC+BC=2BC →(2)</p><p></p><p>$

$</p><p>Now,  △BLC∼△ELA (AA Similarly)</p><p></p><p>$

After this step you can see the attachment