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a triangle and a parallelogram have the same base and the same area.If the sides of the triangles are 15cm,14cm and 13cm and the parallelogram stands on the base 15cm. Find the height of the parallelogram.

Posted by Akshita Rawat 4 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Insha Naaz 4 years, 10 months ago

Let ABC and BCDE are a triangle and a parallelogram on the same base BC. For triangle ABC, a=15cm, b=14cm, c=13cm S=a+b+c÷2 =15+14+13÷2 =42÷2 =21cm Ar(ABC triangle) =√s(s-a)(s-b)(s-c) = √ 21(21-15)(21-14)(21-13) =√21×6×7×8 =√7×3×3×2×7×2×2×2 = 7×3×2×2 =84cm sq Ar (parallelogram BCDE)=84 Base× height= 84 14×height= 84 Height= 84÷28 Height=3cm sq

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CBSE > Class 09 > Mathematics