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Find the area of parallelogram whose …

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Find the area of parallelogram whose sides are 13cm and 14 cm and diagonal is 15cm
  • 1 answers

Yogita Ingle 4 years, 3 months ago

We know that the diagonal of a parallelogram divides it into two congruent triangles. Also, congruent triangles hae equal areas.

So, Area of parallelogram = 2(Area of triangle made by two adjacent sides and diagonal).

Given sides = (a) 13 cm and (b) 14 cm and Diagonal = (c) 15 cm.

So, Semiperimeter (s) = (a+b+c)/2 = (13+14+15)/2 = (42)/2 = 21 cm

So, Area of triangle by heron's formula

Thus, Area of parallelogram = 2*84 = 168 cm²

 

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