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Quick guide

What This Calculator Does

The Triangle Calculator helps when you know part of a triangle and want the rest filled in without switching between several geometry formulas. Enter three sides (SSS), two sides with their included angle (SAS), one side with two angles (ASA/AAS), or supported right-triangle data. The page detects the entered combination and fills in missing sides and angles when the information is sufficient.

The output is more than one missing value. For a solvable triangle, it also reports area, perimeter, semiperimeter, all three heights, all three medians, inradius, circumradius, angle values in radians, a type label, and a visual triangle diagram. It is useful for geometry homework, dimension checks, layout estimates, and understanding how Heron's formula, the law of sines, and the law of cosines fit together.

If you only need a right-triangle hypotenuse or leg, use the Pythagorean Theorem Calculator. For a general equation or numeric expression, use the Equation Solver or Mathematical Expression Calculator.

When to Use It

  • You know three sides and want angles, area, perimeter, and a triangle classification.
  • You know two sides and the angle between them and want the third side and remaining angles.
  • You know one side and two interior angles and want both missing side lengths.
  • You know a right angle and enough side data to check the hypotenuse, angles, area, and radii.
  • You want heights, medians, inradius, and circumradius in the same result set.

This is not an SSA ambiguous-case solver, and three angles alone do not determine a triangle's scale. A side is still required to determine absolute lengths.

Inputs Explained

Sides a, b, and c

Side values must be positive; leave unknown sides blank. When all three sides are supplied, the page uses the law of cosines for the interior angles and Heron's formula for the area. The three sides must also satisfy the triangle inequality: every pair must add to more than the remaining side.

Read the full guide

Frequently Asked Questions

What is the minimum input?

You need at least three valid numeric values and at least one side; the page supports three sides, two sides with their included angle, one side with two angles, and supported right-triangle combinations.

Can I enter any two sides and one angle?

No. The current page treats two sides plus their included angle as SAS and is not an SSA ambiguous-case solver.

Should angles be entered in degrees or radians?

Enter angles in degrees, such as 30, 45, or 90; the result also reports the corresponding radian values.

Why do three sides fail validation?

All sides must be positive and the sum of any two sides must be greater than the third; equality describes a degenerate line, not a valid triangle.

What units are used for area and radii?

The page has no unit selector. Perimeter, heights, and radii follow the side unit, while area uses the squared side unit.

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Triangle Calculator

Supports SSS, SAS, ASA/AAS, and right-triangle data to fill missing sides and angles and calculate area, perimeter, heights, medians, and circle radii.

💡Usage Tips

Smart input detects supported SSS, SAS, ASA/AAS, or right-triangle combinations; provide at least one side and enough additional sides or angles.

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