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In Q. No 1, If Ad = 6 Cm, Cf = 10 Cm, and Ae = 8cm, Find Ab. - Mathematics

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Question

In Q. No 1, if AD = 6 cm, CF = 10 cm, and AE = 8cm, find AB.

Solution

We know that,
Area of parallelogram ABCD = AD × CF                       ……(1)
Again area of parallelogram ABCD  = DC ×  AE           ……(2)
Compare equation (1) and equation (2)

     AD  × CF  = DC ×  AE

⇒ 6 × 10 = D × B 

⇒ ` D = 60 /8  = 7. 5cm` 

∴ AB = DC = 7 . 5cm                  [ ∴ Opposite sides of a parallelogram are equal ]

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Chapter 14: Areas of Parallelograms and Triangles - Exercise 14.2 [Page 15]

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RD Sharma Mathematics [English] Class 9
Chapter 14 Areas of Parallelograms and Triangles
Exercise 14.2 | Q 2 | Page 15
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