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Triangle Square Footage Calculator

Calculate the area of a triangle using base × height (the standard formula) or three side lengths (Heron's formula). Useful for gables, attic spaces, and triangular gardens.

Triangle Area Calculator

Standard: area = (base × height) ÷ 2 where height is perpendicular to the base. Use "Triangle (3 sides)" mode if you only know the side lengths.
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Two formulas, two situations

Standard formula: area = (base × height) ÷ 2. The height MUST be measured perpendicular (90°) from the base to the opposite point. For a triangle with a 12-ft base and 8-ft perpendicular height: (12 × 8) ÷ 2 = 48 sq ft.

Heron's formula (when you only know the three sides): s = (a + b + c) ÷ 2. Then area = √(s(s-a)(s-b)(s-c)). The multi-shape calculator handles this automatically when you select "Triangle (3 sides)".

Real-world triangles

Roof gables are triangles. For a 30-ft-wide gable end with a roof peak 8.75 ft above the wall plate: (30 × 8.75) ÷ 2 = 131 sq ft of gable.

Attic floor cross-sections are triangles. The walkable floor in an unfinished attic with 8-ft trusses is a triangle - useful for estimating insulation or floor area for "knee-wall" build-outs.

Pro tips

Height is perpendicular, not slanted

For a triangle leaning to the right, the "height" isn't the right slanted edge - it's the straight-up distance from the base to the top point.

Use Heron's when you can't measure height

Triangular property corners are easier to measure as three side lengths than to find a perpendicular height. Use Heron's formula on the multi-shape calculator.

Right triangles are easiest

A right triangle has one 90° angle - the two legs adjoining that angle ARE the base and height. Just multiply legs and divide by 2.

Equilateral shortcut

For an equilateral triangle (all sides equal): area = (side² × √3) ÷ 4. A 10-ft equilateral triangle has area = (100 × 1.732) ÷ 4 = 43.3 sq ft.

Frequently asked

How do I calculate the area of a triangle?+
Use (base × height) ÷ 2. The height must be perpendicular to the base. If you only know the three side lengths, use Heron's formula (built into the multi-shape calculator).
What's Heron's formula?+
For a triangle with sides a, b, c: s = (a + b + c) ÷ 2. Area = √(s(s-a)(s-b)(s-c)). Useful when you can't measure the perpendicular height.
How do I find the height of a triangle?+
Drop a perpendicular line from the top point to the base. The length of that line is the height. For a non-right triangle, you may need a square or laser to find the perpendicular.