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In Figure, {A}{B}{C}{D} is a trapezium in which {A}{B}{}{}{D}{

Question

In Figure, $A B C D$ is a trapezium in which $A B ∣ ∣ D C, D C$ is produced to $E$ such that $C E = A B,$ prove that $a r (A B D) = a r (B C E) ˙$ Construction: Draw $D M$ on $B A$ produced and $B N ⊥ D C$

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In Figure,

A B C D

is a trapezium in which

A B ∣ ∣ D C, D C

is produced to

E

such that

C E = A B,

prove that

a r (A B D) = a r (B C E) ˙

Construction: Draw

D M

B A

produced and

B N ⊥ D C

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