Heron’s Formula

Definition: For any given triangle, the area can be found with Heron’s Formula, where s is half the perimeter:

Example: Given a triangle with side lengths 4, 5 and 6 find the area.

Solution:

Step 1: Find s, half the perimeter.

s = (3 + 4 + 5)/2 = 15/2 = 7.5

Step 2: Plug all values into the formula, keeping in mind that a, b and c are the side lengths.

Step 3: Simplify to solve for the area.

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