The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively, and if the respective diagonal is 7 cm then find the area of the parallelogram?

The two adjacent sides of a parallelogram are 5 cm and 4 cm respectively, and if the respective diagonal is 7 cm then find the area of the parallelogram?

Sol :

We know that

        Required Area = 2 Sqrt{s(s-a)(s-b)(s-D)
                                                           Where S = a+b+D/2
                                                                            = 5+4+7/2 = 8

Now  Area = 2 sqrt{8(8-5)(8-4)(8-7)}
                      = 2 sqrt{8x3x4x1}
                      = 8 sqrt (6)


Sqrt = Square root




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