The sides of triangle are in the ratio 3.5.7 and its perimeter is 300 m. Find its area.
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Answer:
Let the sides be 3x,5x,7x
P=300m
3x+5x+7x=300
15x=300
x= 300/15
=20m
So the sides are 60m , 100m , 140m
s=300/2 = 150m
Area= √s(s-a)(s-b)(s-c)
=√150(150-60)(150-100)(150-140)
=√150x90x50x10
=1500√3m²
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