Q. 55.0( 1 Vote )

ABCD is a trapezium such that || . and such that || . Prove that .

Answer :

Given, ABCD is a trapezium such that || . and such that ||

First draw DB to intersect MN at P.

Proof : AB || CD and MN || AB

MN || CD

Now, MN || AB and M-P-N

Hence, MP || AP

Similarly, as MN || CD and M-P-N

PN || CD

In ∆ABD, MP || AB

... (i)

In ∆BCD, PN || CD

... (ii)

From eq (i) and (ii)


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