Question

The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5:12:13, then
find the area of the plot.​

Answer 1

Answer:

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)}

s(s−a)(s−b)(s−c)

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

2

a+b+c

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

2

100+240+260

=300

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

300(300−100)(300−240)(300−260)

Area = 12000 m^2Area=12000m

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.

Hope It will help you... ⚘⚘⚘⚘⚘⚘⚘⚘⚘⚘⚘⚘

Answer 2

Answer:

Area=1200m^2

Step-by-step explanation:

5x+12x+13x=600

30x=600

x=20

So side1=5x

but x=20

Therefore, side1=100m

Similarly side2=240m

and side3=260m

$area = \frac{bh}{2}$

$area = \frac{100 \times 240}{2}$

$area = 1200 {m}^{2}$