Math, asked by getopo7895, 10 months ago

The perimeter of a triangular ground is 900m and its sides are in the ratio 3:5:4. Find the area of the ground.

Answers

Answered by karakavalasasrinu
6

sides ratio = 3:5:4

so let the sides be 3x 5x. 4x

3x +. 5x + 4x= 900

12x = 900

x= 900/12

3x=900/12×3=225

4x=900/12×4=300

5x =900/12×5=375

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Answered by Anonymous
5

Step-by-step explanation:

let the sides of triangle be 3x,5x,4x

3x+5x+4x=900

12x=900

x=75

3x=3×75=225

5x=5×75=375

4x=4×75=300

Sides of the triangle are 225 m , 375 m and 300 m.

Let,

A = 225 m

B = 375 m

And,

C = 300 m

Semi perimeter ( S ) = 1/2 × ( A + B + C )

=> 1/2 × ( 225 + 375 + 300 )

=> 1/2 × ( 900 )

=> 450 m

( S - A ) = 450 - 225 = 225 m

( S - B ) = 450 - 375 = 75 m

And,

( S - C ) = 450 - 300 = 150 m

Therefore,

Area of triangle = ✓S ( S - A ) ( S - B ) ( S - C )

=> ✓450 × 225 × 75 × 150

=> ✓1139062500

=> 33750 m².

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