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

Answer 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

Answer 2

Thanks

Answer 3

Thankyou

Answer 4

The answer in my book is 336cm2