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