Question

the adjacent sides of a parallelogram are 8cm and 9cm the diagonal joining the ends of these sidesis 13.Find area.

Answer 1

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Answer 2

 a diagonal divides a parallelogram into two congruent triangles.
area of parallelogram= 2*area of one triangle
area of triangle=$\sqrt{s(s-a)(s-b)(s-c)}$
s= a+b+c/2
 a=8   b=9   c=13
s= 8+9+13/2
=30/2
=15
area of triangle=$\sqrt{15(15-8)(15-9)(15-13)}$ 
     = $\sqrt{15(7)(6)(2)}$
     = 6$\sqrt{35}$
area of parallelogram= 2*6$\sqrt{35}$
                                   = 12$\sqrt{35}$