Question

The sides of a triangular plot is in the ratio 2:3:4 and its perimeter is 900m. find its area​

Answer 1

Answer:

let the ratio : x

2x,3x,4x

the perimeter of the triangle is :900

2x+3x+4x=900

9x=900

x=900/9=

x=100

2x=200

3x=300

4x=400

s = a +b+c /2

s = 200+300+400/2

s= 900/2

s= 450 ans

Area of the triangle = √ s(s-a)(s-b)(s-c)

√ 450(450-200)(450-300)(450-400

√450×250×150×50

√ 3×3×5×10×5×5×10×3×5×10×5×10

5×5×10×10×3√ 15

7500√15 Answer

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Answer 2

Answer:

Step-by-step explanation:

Let we consider 2:3:4 = 2x 3x 4x

Perimeter= 2 x+3x+4x

900=2x+3x+4x

900=9x

900/9=100

Therefore x= 100

2x=200

3x=300 (multiply by 100)

4x= 400

Semi perimeter=a+b+c/2

S=200+300+400/2

S=900/2

S= 450

The area =√(450-(450-200)(450-300)(450-400)

√450×250×150×50

√ 3×3×5×10×5×5×10×3×5×10×5×10

5×5×10×10×3√ 15

7500√15 Answer