The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m . Find its area
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Answer:
Answer:
3x + 5x + 7x = 300
15x = 300
x = 300/15
x =20
•.• 1st side(a) = 3*x = 3*20 = 60m
similarly, 2nd side(b) = 100m & 3rd side(c) = 140m
now, semiperimetre(s) = 150m
&
area of ∆ = √s(s-a) (s-b) (s-c)
= √150(150-60)(150-100)(150-140)
= √150 * 90 * 50 * 10
= √3 * 5 * 10 * 3 * 3 * 10 * 5 * 10 * 10
= 10*10*5*3√3
= 1500√3m²
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