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what is the area of this triangle
enter your answer as a decimal in the box

To find this area we will use the law of cosine and the Heron's formula. First of all, let't find the unknown side using the law of cosine:

Heron's formula (also called hero's formula) is used to find the area of a triangle using the triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by:

being the corresponding sides of the triangle.

So the semiperimeter is:

So the area is:

there will be 35 boys in each team. : )