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A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is
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(c): Area of parallelogram ABCD = Area of 2 ΔABC Semi- perimeter of ΔABC,S=20+7+152=422 =21cm ∴area of ΔABC=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−−√ =21(21−7)(21−20)(21−15)−−−−−−−−−−−−−−−−−−−−−−−−√ =21×14×6−−−−−−−−−√=42sq.cm. ∴Area of parallelogram =2×42=84sq. cm.
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Question Text | A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20 cm. The area of the parallelogram is |
Answer Type | Text solution:1 |
Upvotes | 152 |