What is the area of a triangle with sides of 39, 67.27 and 48.33 cm?

1 Answer
Oct 17, 2015

sqrt(860255.971769).

Explanation:

You can use Heron's formula: if a, b and c are the sides of the triangle, then the area A can be found this way:

A=sqrt(p * (p-a) * (p-b) * (p-c)), where p is half of the perimeter: {a+b+c}/2.

So, let's compute p:

(39+67.27+48.33)/2=77.3.

So, the formula is

sqrt(77.3 * (77.3-39) * (77.3-48.33) * (77.3 - 67.27))

which is sqrt(860255.971769).