Triangle Area Calculator

Find the area of a triangle from its base and height, or from the lengths of its three sides.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Area

30

area = ½ × 10 × 6 = 30

What is a triangle area calculator?

A triangle area calculator finds the area of a triangle. It supports the two most common methods: the simple base times height formula, and Heron's formula when you know all three side lengths. This is useful for geometry homework, construction, land measurement and any time you need the space inside a triangle.

How it's calculated

With a base and the perpendicular height, the area is ½ × base × height. When you know all three sides a, b and c, use Heron's formula: first find the semi-perimeter s = (a + b + c) ÷ 2, then area = √(s(s − a)(s − b)(s − c)). The three sides must be able to form a triangle, meaning each side is shorter than the sum of the other two.

Example

A triangle with a base of 10 and a height of 6 has an area of ½ × 10 × 6 = 30. Using Heron's formula on a 3-4-5 triangle: s = (3 + 4 + 5) ÷ 2 = 6, so the area is √(6 × 3 × 2 × 1) = √36 = 6. A 5-5-6 triangle gives s = 8 and an area of √(8 × 3 × 3 × 2) = √144 = 12.

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Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Choose a mode, then enter the measurements. The calculator updates instantly.

Base and height: area = ½ × base × height. Three sides: uses Heron's formula with the semi-perimeter.

Frequently asked questions

How do I find the area of a triangle?+

Use ½ × base × height, or Heron's formula if you know all three sides.

What is Heron's formula?+

Area = √(s(s − a)(s − b)(s − c)), where s is half the perimeter; it works from the three side lengths alone.

What is the semi-perimeter?+

Half the sum of all three sides, used in Heron's formula.

Do I need the height?+

Not if you know all three sides; use Heron's formula instead. See our Pythagorean Theorem Calculator to find a height.

What are the base and height?+

The base is any side; the height is the perpendicular distance from that side to the opposite corner.

Can any three lengths form a triangle?+

Only if each side is shorter than the sum of the other two (the triangle inequality).

What units is the area in?+

Square units of whatever you entered.

Does this work for right triangles?+

Yes; for a right triangle the two legs are the base and height, so the area is ½ × leg × leg.