Unit Conversion Calculator

Triangle Calculator

Choose the measurements you know. The triangle, results and worked steps update as you type. Base and height alone determine area only.

Choose the measurements you know. The triangle, results and worked steps update as you type. Base and height alone determine area only.

Dimensions

Live geometry diagram

Results update as you type.

Results

How it was calculated

A = √(s(s−a)(s−b)(s−c))P = a+b+cr = A/sR = abc/(4A)hₐ = 2A/a∠A+∠B+∠C = 180°

Why divide a triangle’s area by two?

Why divide a triangle’s area by two?
Two congruent triangles make a parallelogram. With base 6 and perpendicular height 4, the parallelogram’s area is 24 and each triangle’s area is 12 square units.
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How to use the triangle calculator

Choose a method and enter its known measurements. Side lengths must be positive. The completed triangle and calculation steps appear automatically.

Can base and height determine a triangle?

No. Base and height determine the area only. The apex can move sideways, changing the other sides, perimeter and angles without changing that area.

Geometry formulas

SSS: A = √(s(s−a)(s−b)(s−c))
SAS: c² = a²+b²−2ab cos C
AAS/ASA: a/sin A = b/sin B = c/sin C
Right triangle: two legs: c² = a²+b²
Triangle: base and height: A = b×h/2

How to use the triangle calculator

How to use the triangle calculator

Choose a method and enter its known measurements. Side lengths must be positive. The completed triangle and calculation steps appear automatically.

Can base and height determine a triangle?

No. Base and height determine the area only. The apex can move sideways, changing the other sides, perimeter and angles without changing that area.