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Heron's Formula

S = √(p(p−a)(p−b)(p−c)) — triangle area from three sides.

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Heron's Formula — steps

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Frequently Asked Questions

What is Heron's Formula?

S = √(p·(p−a)·(p−b)·(p−c)), where p=(a+b+c)/2 is the semi-perimeter.

How do you apply Heron's Formula?

For a 3-4-5 triangle: p=6, S=√(6·3·2·1)=√36=6.

When is Heron's Formula used?

When all three sides of a triangle are known but the height is not.