# Maths

The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is 30cm. Find the area of the parallelogram by using heron's formula

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1. You will have 2 congruent triangles, so we need to find only the area of one of them

Heron's formula:
Area = √(s(s-a)(s-b)(s-c)) , were a, b, and c are the sides and s= half the perimeter

s = (26+28+30)/2 = 42
s-a = 16
s-b = 14
s-c = 12
area = √(42x16x14x12) = √112896 = 336

so the area of the whole thing = 672

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2. Thanks

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3. Thankyou

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4. The answer in my book is 336cm2

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