Advanced Triangle Calculator
Solve for any missing sides, angles, area, perimeter, and other properties of a triangle given various known values.
Enter valid triangle data to see the results and diagram.
1. Select Known Values: Choose the set of values you know (e.g., SSS, SAS).
2. Enter Values: Input the side lengths and/or angles as prompted.
3. Choose Units: Select the unit for side lengths (angles are in degrees).
4. View Results: The calculator will automatically display all triangle properties and a diagram.
Tooltips: Hover over labels (e.g., 'Side a') for more info on which side/angle it refers to.
• Construction: Checking corners for squareness (90° angle), roof pitch calculations, rafter lengths.
• Woodworking: Figuring out miter saw angles for non-square corners, creating triangular components.
• Landscaping: Laying out garden beds or paths with specific side lengths or angles.
• Navigation & Surveying: Calculating distances and bearings.
• Education: Understanding trigonometric principles and geometric relationships.
Law of Sines: Relates the sides of a triangle to the sines of their opposite angles. Used when you know an angle and its opposite side. Formula: a/sin(A) = b/sin(B) = c/sin(C).
Law of Cosines: Relates the lengths of the sides of a triangle to the cosine of one of its angles. Used for SSS (to find an angle) and SAS (to find the third side). Formula: c² = a² + b² - 2ab cos(C).
Angle Sum: The sum of the interior angles of any triangle is always 180°.
Heron's Formula: Calculates the area of a triangle when all three side lengths are known.