Question

find the triangular side its ratio is 3:5:7 and it's peri mater 300m​

Answer 1

Answer:

The sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

15x=300

x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now using herons formula:

S=

2

60+100+140

=

2

300

=150 m

Area of the triangle is:

A=

s(s−a)(s−b)(s−c)

=

150(150−60)(150−100)(150−140)

=

150×90×50×10

=

6750000

=1500

3

m

2

Hence, area of the triangular plot is 1500

3

m

2

.

Answer 2

Answer:

The sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

3x+5x+7x=30015x=300

3x+5x+7x=30015x=300x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now using herons formula:

S= 60+100+140/2

= 300/2

=150 m

Area of the triangle is:

A= s(s−a)(s−b)(s−c) =150(150−60)(150−100)(150−140) = 150×90×50×10 = 6750000 =1500√3m²

Hence, area of the triangular plot is 1500√3m² .