Find the area of the a ∆, two sides of which are 8cm and 11cm and the perimeter is 32cm.
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Perimeter of ∆ = 32cm
a = 8cm
b= 11cm
Third side c = 32cm+(8+11) cm
= 13cm
So, 2s = 32 , i.e., s = 16cm
s-a = (16-8) cm = 8cm
s-b= (16-11) cm = 5cm
s-c = (16-13) cm = 3cm
therefore, area of ∆ = √s(s-a) (s-b) (s-c)
= √16×8×5×3cm^2
= 8√30cm^2
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