Question

The sides ofa triangle are in the ratio 3:5:7 and its perimeter is 300 . What is its area ?

Answer 1

Step-by-step explanation:

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

.