Triangle Area Calculator
Area
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Formula Used
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Perimeter
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How It Works
This triangle area calculator uses established formulas to provide accurate results.
The basic rule:
- A = ½ × base × height
- A = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
- A = ½ × a × b × sin(C)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is the easiest way to find triangle area?
The simplest formula is A = ½ × base × height. Multiply the base by the perpendicular height and divide by 2.
How does Heron's formula work?
Heron's formula finds the area when you know all three sides. First find the semi-perimeter s = (a+b+c)/2, then compute A = √[s(s-a)(s-b)(s-c)].
When do I use the two-sides-and-angle method?
Use A = ½ab·sin(C) when you know two sides and the angle between them (the included angle). This is the SAS (Side-Angle-Side) area method.
Can a triangle have zero area?
A triangle has zero area only when the three vertices are collinear (all on the same line). Any three non-collinear points form a triangle with positive area.