Answer :

Given.

D is the midpoint of side BC of triangle ABC Parallelogram CDEF stands between side BC and parallel to BC through the point A

Formula used.

Area of triangle = × Base × Height

Area of parallelogram = Base × Height

In triangle ABC

Area of triangle ABC = × Base × Height

Area of triangle ABC = × BC × AX

In parallelogram CDEF

Area of parallelogram CDEF = Base × Height

Area of parallelogram CDEF = DC × AX

⇒ height of both parallelogram and triangle will be same

Because of stands on BC and parallel through point A

As D is mid-point of BC

DC = × BC

⇒ 2×DC = BC

Area of triangle ABC = × BC × AX

= × 2 × DC × AX

= DC × AX

= Area of parallelogram CDEF

∴ triangle ABC = parallelogram CDEF

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