The perimeter of a triangle is 510 ft and the sides are in the ratio of 11: 16: 24. find the area of the triangle. need , is there a specific formula for this?

1.
The side lengths are in the ratio 11:16:24, so let them be

11k, 16k, and 24k for some number k.

11k+16k+24k=510 
k(11+16+24)=510
51k=510
k=10

so the actual sides are 110, 160 and 240 feet.

2.
There is a famous formula, called Heron's formula, which calculates the area of a triangle, given its sides a, b and c.

we first calculate the half perimeter, which we usually denote by u:



then the theorem states that the area A is as follows:



3.

In our case:









 feet squared

D 7,258.745 ft squared