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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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:
the sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m. find its area
Verified answer
let sides be 3x 5x and 7x
so,
3x +5x+7x=300m
15x=300
x=300/15
x=20
so 1st side =3x=60m
2nd=5x=100m
3rd=7x=140m
now area of triangle is
apply herons formula
under root s×s-a×s-b×s-c
where s=(perimeter/2)=300/2=150
so area=under sq.root 150×90×50×10
=under root 1750000