I want to know the best answer of the question from Areas of Parallelograms and Triangles chapter of class 9th ncert math. The question from exercise 9.4 of math. Give me the easy way for solving this question of 3 In Fig. 9.31, ABCD, DCFE and ABFE are parallelograms. Show that ar (ADE) = ar (BCF).
Given,
ABCD, DCFE and ABFE are parallelograms
To prove,
ar (△ADE) = ar (△BCF)
Proof,
In △ADE and △BCF,
AD = BC [Since, they are the opposite sides of the parallelogram ABCD]
DE = CF [Since, they are the opposite sides of the parallelogram DCFE]
AE = BF [Since, they are the opposite sides of the parallelogram ABFE]
, △ADE ≅ △BCF [Using SSS Congruence theorem]
, ar(△ADE) = ar(△BCF) [ By CPCT]