Question

in the given figure,ABCD is parallelogram BL and DM are drawn perpediculars from B and D respectively on the diagonal AC prove that BL = DM ​

Answer 1

In triangle BMC and triangle DNA

BC =AD (opposite sides are equal in parallelogram )

Angle BCM = angle MAD( Alternate interior angle)

Angle BMC =Angle DNA ( BM and DAN are perpendicular to AC

By ASA criterion

Triangle BMC is congruent to triangle DNA

BL=DM(C.P.C.T)