Triangle Calculator

Triangle Calculator

Local Processing

Solve triangles from sides and angles; perimeter, Heron’s area, laws of sines and cosines, equilateral and isosceles triangles.

How It Works & Processing Standards

Enter values above to calculate results automatically. Check each input field for guidance and units.

Tool processing runs in your browser. If you create a calculator or conversion share link, its values are included in the URL. See the privacy policy for account, analytics and advertising data.

Seven triangle calculations in one tool. Pick the one that matches what you know under "Calculation" and only the needed fields appear.

What You Can Do

Solve from sides and angles
SSS, SAS, ASA or AAS gives every remaining side and angle.
Perimeter and Heron’s area
Perimeter and area from three sides.
Laws of sines and cosines
Another side from a side and its opposite angle, or the third side from two sides and the included angle.
Equilateral and isosceles
Height, area and perimeter from one side (or the equal sides and base).

How to Use Triangle Calculator

  1. 1
    Choose a calculationPick what matches your known values. For solving, also pick the case (SSS etc.).
  2. 2
    Enter valuesSides in one unit, angles in degrees.
  3. 3
    Read the resultSides, angles and area in a table.

Examples

3-4-5 triangle (SSS)
Input: a 3, b 4, c 5
Result: Angle A 36.8698976458°, angle B 53.1301023542°, angle C 90°
Area of a 5-5-6 triangle (Heron)
Input: a 5, b 5, c 6
Result: 12
Equilateral triangle, side 10
Input: Side 10
Result: Area 43.3012701892, perimeter 30, height 8.66025403784

Common Use Cases

  • Angles from three measured sides in surveying or woodworking
  • The area of a triangular plot or panel
  • Checking trigonometry homework

Frequently Asked Questions (FAQ)

What if the three sides cannot form a triangle?

If the longest side is at least the sum of the other two, it is not a triangle and you are told so.

What about SSA?

It can have two solutions, so the solver does not accept it. Use the law of sines to find one side at a time.

Have feedback or ideas for this tool? Suggest & Inquire →