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In the Given Below Fig. Abcd, Abfe and Cdef Are Parallelograms. Prove that Ar (δAde) = Ar (δBcf) - Mathematics

In the given below fig. ABCD, ABFE and CDEF are parallelograms. Prove that ar (ΔADE)
= ar (ΔBCF)

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Solution

Given that,
ABCDis a parallelogram  ⇒  AD = BC
CDEF is a parallelogram  ⇒  DE  = CF
ABFE is a parallelogram  ⇒   AE = BF
Thus, in Δs ADE and BCF,we have

AD = BC,DE = CF and AE = BF
So, by SSS criterion of congruence, we have

      ΔADE  ≅ ΔABCF
  ∴ ar ( Δ ADE )  = ar ( BCF )

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.3 | Q 8 | Page 45
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