# How do you use Heron's formula to find the area of a triangle with sides of lengths #6 #, #6 #, and #7 #?

##### 2 Answers

#### Explanation:

Heron's formula states for any triangle, the area is given by:

#s# is the semiperimeter of the triangle, given by#s=(a+b+c)/2# .

#a,b,c# are the sides of the triangle

Here,

And so, the area is:

Archimedes' Theorem is a modern form of Heron's Formula. We set

#### Explanation:

Archimedes' Theorem is usually superior to Heron's Formula.

Given a triangle with sides

No semiperimeter, no multiple square roots when given coordinates.

We're free to choose whichever form is convenient and assign