Triangle Angle Calculator
Category: GeometryCalculate the angles of a triangle using the law of sines or from the three sides using the law of cosines. Enter the known values to find the unknown angles.
Triangle Properties
- Law of Sines: a / sin(A) = b / sin(B) = c / sin(C)
- Law of Cosines: c² = a² + b² − 2ab · cos(C)
- Sum of Angles in Triangle: A + B + C = 180°
What Is the Triangle Angle Calculator?
The Triangle Angle Calculator is a tool designed to help you solve triangle measurements by calculating unknown angles based on the values you provide. Whether you're working with two sides and an angle, all three sides, or two angles and a side, this triangle solver quickly finds the missing angles using geometry principles like the law of sines and law of cosines.
Ideal for students, teachers, engineers, or anyone working with geometric shapes, this calculator acts as a helpful triangle geometry helper in various tasks from homework to design projects.
Why Use This Triangle Solver?
Here are some of the key benefits and features:
- Calculate triangle dimensions instantly
- Choose from multiple input types: two sides and one angle, three sides, or two angles and one side
- Automatically applies the correct formula
- Displays results with a visual triangle and clear labels
- Shows step-by-step solutions (optional)
- Choose the number of decimal places for precision
How to Use the Triangle Angle Calculator
Follow these steps to solve your triangle:
- Select a calculation type from the dropdown menu:
- Two Sides and One Angle – uses the law of cosines and law of sines
- Three Sides – applies the law of cosines to find all angles
- Two Angles and One Side – calculates the third angle, then uses the law of sines
- Enter the known side lengths and/or angles into the fields provided.
- Select how many decimal places you’d like your answers to have.
- Check “Show calculation steps” if you want a breakdown of the math used.
- Click Calculate to see the results.
The calculator will then show the missing angle values, confirm that the total adds up to 180°, and draw a labeled triangle for visual reference.
Who Can Benefit From This Tool?
This triangle side and angle tool is useful in many real-life and academic situations, such as:
- Students and teachers – for checking homework or learning triangle geometry
- Engineers and architects – for verifying structural designs
- Surveyors – for field calculations
- Hobbyists and designers – working with patterns, angles, or shapes
It’s also great as an add-on to other geometry tools like a right triangle solver, distance calculator, or area measurement tool.
Frequently Asked Questions (FAQ)
What units should I use?
You can use any unit of measurement for side lengths—just be consistent. The calculator uses degrees for angles.
Can I calculate triangle angles from three sides?
Yes, select "Three Sides" from the dropdown and enter the side lengths. The tool uses the law of cosines to solve all angles.
What if my input doesn’t work?
Make sure your values form a valid triangle. For example, the sum of any two sides must be greater than the third.
Does this tool work for right triangles?
Yes. If your triangle includes a 90° angle, the tool will still work. However, if you're only working with right triangles, try using a right triangle calculator or hypotenuse finder for quicker results.
Is this the same as a Pythagorean theorem tool?
Not exactly. This calculator solves any triangle—not just right triangles. If you’re only solving for sides of a right triangle, the Pythagorean theorem tool may be a faster option.
Conclusion
The Triangle Angle Calculator is a fast and reliable way to solve triangle measurements and understand triangle geometry. Whether you’re tackling academic problems or solving real-world shape and distance calculations, this tool makes the process simple, accurate, and visual.
Combine it with other resources like a volume calculator, slope calculator, or circle geometry helper for a complete geometry toolkit.
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