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11. The adjacent sides of a parallelogram are8 cm and 9 cm. The diagonal joining theends of these sides is 13 cm. Calculatethe area of the parallelogram. |
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Answer» Let tqo adjacent sides are a=8cm, b=9cmdiagonal d=13cmthese three sides show one triangles= (a+b+c)/2=(8+9+13)/2=30/2=15s-a=15-8=7s-b=15-9=6s-c=15-13=2area of the triangle = √[s(s-a)(s-b)(s-c)= √[15*7*6*2area of the parallelogram =2*area of triangle=2*[√(15*7*6*2)]=2× 20.4939015319=40.98 cm^2 |
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