Question

Q.3.The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Find its area.​

Answer 1

Answer:

Step-by-step explanation:

The sides of a triangular plot are given as 3:5:7.

Let the sides,

a=3x ;. b=5x ; c=7x.

Perimeter = 3x+5x+7x

300 = 15x

x = 300/15

x = 20.

Now,

a=3x=3×20

= 60m.

b=5x=5×20

= 100m.

c=7x=7×20

= 140m.

Therefore,

Semi perimeter = a+b+c/2

= 60+100+140/2

= 300/2

= 150m.

So,

Area = √s(s-a)(s-b)(s-c)

= √150(150-60)(150-100)(150-140)

= √150×90×50×10

= √30×5×30×3×5×10×10

= 30×5×10√3

= 1500√3......

Answer 2

Answer:

The ratio of side of triangular plot = 3 : 5 : 7

let s take,

Sides of triangle = 3x , 5x , 7x

perimeter of triangle = 300 m

3x + 5x + 7x = 300 m

15x = 300 m

x = 300 / 15

x = 20 m

sides of triangle

3x = 3 x 20 = 60 m

5x = 5 x 20 = 100 m

7x = 7 x 20 = 140 m

Area of a triangle = length x breadth x height

= 60 x 100 x 140

= 84000 m square

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