Math, asked by shineylyonesse3418, 1 year ago

A parallelogram has sides 30m and 14m long and one of the diagonals is 40m long find its area

Answers

Answered by Bhavanavindamuri
13
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Here is your answer goes like this :


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Your question...


A parallelogram has sides 30m and 14m long and one of the diagonals is 40m long find its area



Answer:


let ABCD be the given parallelogram


area of parallelogram ABCD = 2 x (area of triangle ABC)


now a = 30m, b = 14m and c = 40m

s=1/2(a+b+c)

==>s=1/2 x (30+14+40) = 42


==>Area of triangle ABC = √[s(s-a)(s-b)(s-c)]

= √[42(12)(28)(2)]

= 168sq m

area of parallelogram ABCD = 2 x 168 = 336 sq m

THERFORE THE AREA OF PARALLELOGRAM is 336 m²



The answer has been explained....



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