Question

ABCD is a parallelogram CE is drawn parallel to DB meeting AB produced at E. Prove that BE=DC.​

Answer 1

Answer:

Step-by-step explanation:

Given that BE II AC

ABEC is a parallelogram, of which opposite sides are parallel.

Δ ABC and Δ ACE lie on the same base AC and between the same parallel AC and BE.

Area(Δ ABC) = Area(Δ ACE)

By adding area(Δ ADC) to both sides

Area(Δ ABC) + Area(Δ ADC) = Area(Δ ACE) + Area(Δ ADC)

Area (Parallelogram ABCD) = Area(Δ ADE)

Hence, proved.