The sides of a triangle plot are in the ratio of 3:5:7 and its perimeter is 300m.Find its area.
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Answer:
1500√3m²
Step-by-step explanation:
Let the sides be 3x , 5x and 7x respectively
∴3x+5x+7x=300
⇒15x=300
⇒x=300/15
⇒20
∴The sides are (3x)= 20*3=60m
(5x)=20*5=100m
(7x)=20*7=140m
Area of triangle =√{s(s-a)(s-b)(s-c)} (where s is 1/2 of perimeter)
⇒√{150×90×50×10}
⇒100√(15×9×5)
⇒1500√3m²
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