the side of a triangular plot are in the ratio 3 ratio 5 ratio 7 and its perimeter is 300 M find its area
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Answered by
8
Hiiiiii,
let x be a common multiple..
So,
3x+5x+7x=300
x=300/15=20m
then sides are 60,100,140
Area of triangle =150×90×50×10
=5×10×30 under root 3
1500 under root 3
i hope it's helpful.....
plz mark as brainaist......
let x be a common multiple..
So,
3x+5x+7x=300
x=300/15=20m
then sides are 60,100,140
Area of triangle =150×90×50×10
=5×10×30 under root 3
1500 under root 3
i hope it's helpful.....
plz mark as brainaist......
Answered by
7
Ratio of sides = 3 : 5 : 7
Sum of sides = 300 m
So, the length of sides are
(3 / 15) × 300 m = 60 m
(5 / 15) × 300 m = 100 m
(7 / 15) × 300 m = 140 m
Half of the perimeter (p) = 300 m / 2 = 150 m
From Heroni’s formula
Area = √[p (p - a) (p - b) (p - c)]
= √[150 × (150 - 60) (150 - 100) (150 - 140)]
= 1500√3 m²
= 2598 m²
∴ Area of triangle is 2598 m²
Sum of sides = 300 m
So, the length of sides are
(3 / 15) × 300 m = 60 m
(5 / 15) × 300 m = 100 m
(7 / 15) × 300 m = 140 m
Half of the perimeter (p) = 300 m / 2 = 150 m
From Heroni’s formula
Area = √[p (p - a) (p - b) (p - c)]
= √[150 × (150 - 60) (150 - 100) (150 - 140)]
= 1500√3 m²
= 2598 m²
∴ Area of triangle is 2598 m²
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