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It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 360, 300, and 300asthe side’s lengths, what is the triangle’s area?

A.34,200
B.36,200
C.38,200
D. 42,200
E.43,200


-> P=(360+300+300)/2=480, area=√(480(480-360)(480-300)(480-300))=43,200. Therefore, the answer is E.
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Umm, don't wish to labour this point...but its a very basic question involving tedious calculation. Does it deserve a place on this forum?
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Horatio
Umm, don't wish to labour this point...but its a very basic question involving tedious calculation. Does it deserve a place on this forum?

Yes it deserves a place in this forum but not by the method used by Heron's formula.

The formula √(p(p-a)(p-b)(p-c)) can never be expected out of Test takers by GMAC. The other method of solving this question is already posted by me. Here it is again.


Make an Isosceles triangle with two sides 300 and base 360

Drop Perpendicular on Base (dividing base into two halves of 180 each) and use Pythagorus theorem to calculate height = √((300^2)-(180^2)) = 240

Area of Triangle = (1/2)*360*240 = 43200

Answer: Option E
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