Question

if the side of a traingular fiels is in ratio of 6:9:10. if it perimeter is 2500m what is the area of that field​

Answer 1

Answer:

266634.11 m^2

Step-by-step explanation:

The following information is given in the question

The ratio of the side of the triangular fields is 6:9:10

And, the perimeter is 2500m

We need to find the area of that field

So

Let us assume the 3 sides be x

Here so the sides be 6x,9x, 10x

Now the perimeter = sum of the length of all sides

2500 = 6x + 9x + 10x

2500 = 25x

x = 100

The three sides would be 600,900 and 1000

Now the area of that field would be

As we know that

The Area of the triangle as per the Heron Formula is

$= \sqrt{s(s-a)(s-b)(s-c)} \\\\= \sqrt{1250(1250-600)(1250-900)(1250-1000)} \\\\= \sqrt{1250(650)(350)(250)} \\\\= \sqrt{71093750000}$

=  266634.11 m^2