Question

In a parallelogram abcd ab is 10 and altitude corresponding to the sides ab and ad are 7 and 8 cm find ad

Answer 1

AD = 8.75 cm is your answer.

Answer 2

AnswEr:

We have,

Area of parallelogram = Base * Height

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$\therefore \sf \: ar( {ll}^{gm} \: ABCD) = AB \times DM = (10 \times 7) {cm}^{2} - - (1) \\ \\ \sf \: ar( {ll}^{gm} \: ABCD) = AD \times BN = (AD \times 8) \: {cm}^{2} - - (2)$

From (1) and (2), we have

$\sf \: 10 \times 7 = ad \times 8 \\ \\ \implies \sf \: AD = \frac{10 \times 7}{8} \: cm \implies \: AD = \dfrac{35}{4} \: cm \\ \\ \sf = 8.75 \: cm$

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