Question

The sides of a triangle are 8, 10, and 14.0. Find the area of the triangle? Round to 2 decimal places

Answer 1

39.19

Explanation:

Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = `sqrt(p ( p − a ) ( p − b ) ( p − c ) )`
where p is half the perimeter, and `a,b` and `c` are the side lengths of the triangle. Or,
`p=(a + b + c) / 2`

`p = (8+10+14)/2=16`

`p=sqrt(16(16-8)(16-10)(16-14))=16sqrt6=39.19183588`