How does the Pythagorean theorem work?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: a² + b² = c². This calculator finds any missing side when two sides are known.

What triangle properties can this calculator find?

This calculator can find missing sides and angles, area (using base-height, Heron's formula, or SAS), perimeter, and classify triangles by their sides and angles.

What is Heron's formula?

Heron's formula calculates the area of a triangle when all three sides are known: A = √(s(s-a)(s-b)(s-c)) where s is the semi-perimeter (a+b+c)/2. This calculator shows every step of the computation.

Triangle Calculator

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About Triangle Calculator

Enter side lengths or angles to solve any triangle step by step. Supports the Pythagorean theorem, area formulas (base-height, Heron's, and SAS), and full triangle solving for SSS, SAS, ASA, and AAS configurations — with labeled diagrams and clear explanations at every step.

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FAQ

Is this geometry calculator free?

Yes! The Geometry & Trig Calculator provides free step-by-step solutions for triangles, circles, angles, trig functions, and shape measurements. No account required.

What types of geometry problems can it solve?

It covers angle operations (addition, conversion, complements), circle calculations (area, circumference, arc length), triangle solving (law of sines/cosines, Pythagorean theorem), trigonometric functions, coordinate geometry (distance, midpoint, slope), and 2D/3D shape measurements.

How does the calculator work?

It uses precise mathematical formulas and Python's math library to compute exact results. Unlike AI chatbots, every answer is deterministic and mathematically guaranteed to be correct.

Does it show formulas and step-by-step work?

Yes! Every solution includes the formulas used, substituted values, and a clear breakdown of each calculation step so you can follow along and learn.

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