Question
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
Answers
Reiny
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
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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Siddhant
The answer in my book is 336cm2