Question

the perimeter of a tritriangular plot is 600m . if the sides are in the ratio 5:12:13,then find the area of the plot

Answer 1

Answer:

Step-by-step explanation:

let x be each side

• 5x+12x+13x=600
• 30x=600
• x=20
• 5x=100
• 12x=240
• 13x=260
• area of triangle=hb×b÷2
• 100×240/2
• area=24000/2
• area=12000m²

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Answer 2

The area of the plot is 12000 sq.m.

Step-by-step explanation:

We are given that the sides are in the ratio 5:12:13

Let the ratio be x

So, Sides are 5x , 12x and 13 x

Perimeter of triangular plot = Sum of all sides = 5x+12x+13x= 30x

The perimeter of a triangular plot is 600m .

So, 30x = 600 m

x = 20 m

Sides : 5x = 5(20)=100 m

12x=12(20)=240 m

13x = 13(20)= 260 m

Area of triangular field =$\sqrt{s(s-a)(s-b)(s-c)}$

Where $s = \frac{a+b+c}{2}$

$s=\frac{100+240+260}{2}=300$

$Area = \sqrt{300(300-100)(300-240)(300-260)}$

$Area = 12000 m^2$

Hence the area of the plot is 12000 sq.m.

#Learn more:

The sides of triangular field are 165m,143m and 154m.fiend the area of field.

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