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The sides of a triangular plot are in the ratio of 6 : 7 : 8 and its perimeter is 420 m. Find its area.

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CBSE/Class 9/Mathematics Tuition/Class IX-X Tuition

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8133 metersquare
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Tutor

3(a-b)(b-c)(c-a)
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30 cm2
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Tutor

No anyone.because sum of triangle is equal to 180.but here sum of angles are 181.
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Math Magician

The sides of triangular plot is in ratio 6:7:8 and perimeter = 420 meter. Then find area? Suppose, sides are 6x, 7x, 8x then perimeter = 6x + 7x + 8x = 21x = 420 meter. As, 21x = 420 meter, So x = 20. Then sides are 6×20 =120 m, 7× 20 =140 meter.8×20 =160 meter. Perimeter ÷... read more

The sides of triangular plot is in ratio 6:7:8 and perimeter = 420 meter. Then find area?

Suppose, sides are 6x, 7x, 8x then perimeter  = 6x + 7x + 8x = 21x = 420 meter.

As, 21x = 420 meter,

So x = 20.

Then sides are 6×20 =120 m, 7× 20 =140 meter.8×20 =160 meter.

Perimeter ÷ 2  = 420 ÷ 2 = 210.

Now area of triangle = under root of [210 (210 -120) (210 – 140) (210 – 160) metre 2.

= 8127 metre 2.

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Teacher

The sides are in the ratio of 6:7:8 and the perimeter is 420 m So the individual sides are 120, 140 and 160 m Hence area = root(210 x 90 x 70 x 50) = sqrt(6615 x10000) = 8133 sqm
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Tutor

2100.sqrt(15)
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Tutor

6x+7x+8x=420 -> x=20. The 3 sides are 120, 140 and 160. Apply the area formula so that ther area of the triangle is 8133 m^2
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Tutor

2100*sqrt (15)
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Tutor

6k+7k+8k=420,k is side we get k =20 then we will calculate seprately alll three
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