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

Answer


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 = DC × 8
$\Rightarrow\text{DC}=\frac{6\times10}{8}=7.5\text{cm}$
$\therefore$ AB = DC = 7.5cm [Opposite sides of || gm]

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