Question

The semi perimeter of a triangle is 132 cm. The product of the difference of semi perimeter and its respective sides is 13200 cubic cm find the area of the triangle

Answer 1

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as area the area of a triangle according to herons formula is
$\sqrt{s \times sa \times sb \times sc}$
where s is semi perimeter and abc are sides so
given is
s=132
and sa*sb*sc= 13200
so area
$\sqrt{132 \times 13200}$
$= \sqrt{ {132}^{2} \times {100}^{2} }$
$= 132 \times 100 = 13200$