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

How do you find the area of a triangle?

The most common way is half the base times the height: area = ½ × base × height, where the height is the perpendicular distance from the base to the opposite corner. If you don't know the height but know all three side lengths, you can use Heron's formula instead.

Heron's formula

Heron's formula finds the area from the three sides alone. First compute the semi-perimeter s = (a + b + c) ÷ 2, then the area is √(s(s − a)(s − b)(s − c)). It works for any triangle as long as the three lengths can actually form one.

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, a 3-4-5 triangle has s = 6, so the area is √(6 × 3 × 2 × 1) = √36 = 6.

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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

What is the formula for the area of a triangle?+

The basic formula is area = ½ × base × height. The base is any side, and the height is the perpendicular distance from that side to the opposite corner.

What is Heron's formula?+

Heron's formula finds a triangle's area from its three side lengths: with s = (a + b + c) ÷ 2, the area is √(s(s − a)(s − b)(s − c)).

How do you find the height of a triangle?+

Rearrange the area formula: height = (2 × area) ÷ base. You need the area and the base length.

Can any three lengths form a triangle?+

No. Each side must be shorter than the sum of the other two (the triangle inequality), otherwise the sides can't close into a triangle.

Does the area formula work for all triangles?+

Yes. Half base times height works for every triangle, and Heron's formula works whenever you know all three valid side lengths.