ABCD is a parallelogram in which AB = 20cm, BC = 13cm, AC = 21cm. Find the perimeter of parallelogram ABCD.
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*Main Answer:-
- 252 cm²
Step by step explanation:-
In parallelogram ABCD ,
- AB = 20cm,
- BC = 13cm
- AC = 21cm.
To find area(parallelogram ABCD) , firstly find the area of triangle ABC. Then we double it.
Area(triangleABC)
- = √{s(s-a)(s-b)(s-c)} ,
where s is the semi perimeter of thetriangle. And a, b, c are its sides.
Area(triangle ABC)
- = √{27 × 7 × 14 × 6}
- => area = √{3² × 3² × 2² × 7²}
- => area = 126 cm²
So, area( parallelogram)
- = 126 × 2 = 252cm²
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