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ICSE Class 9 Answered

One side of a parallelogram is 10 cm. If its diagonals are 12 cm and 16 cm; find the area of the parallelogram.
Asked by Topperlearning User | 29 Aug, 2017, 12:46: PM
answered-by-expert Expert Answer

At first we have to calculate the area of triangle having sides 10 cm, 6 cm and 8 cm.

Then from the area of the triangle we need to calculate the height of the triangle and making it to double we get the height of the parallelogram.

Let the area of the triangle be A and height h.

begin mathsize 12px style straight S equals fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction space and space straight A equals square root of straight S open parentheses straight S minus straight a close parentheses open parentheses straight S minus straight b close parentheses open parentheses straight S minus straight c close parentheses end root end style

Hence height of the parallelogram = 9.6 cm

Answered by | 29 Aug, 2017, 02:46: PM

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