What information do I need to solve a right triangle?

You need any two pieces of information (excluding the right angle): two sides, one side and one angle, or the hypotenuse and one side. The calculator will find all other measurements.

How do trigonometric functions help solve triangles?

Trigonometric functions (sin, cos, tan) relate angles to side ratios. If you know an angle and one side, you can find other sides. If you know two sides, you can find angles using inverse trig functions.

What are the special right triangles?

The 30-60-90 triangle has sides in ratio 1:√3:2, and the 45-45-90 triangle has sides in ratio 1:1:√2. These appear frequently and are useful for quick calculations.

Can I solve triangles that aren't right triangles?

This calculator is specifically for right triangles. For other triangles, you'd use the Law of Sines, Law of Cosines, or other triangle-solving methods.

Right Triangle Calculator – Complete Triangle Solver

Solve right triangles with any combination of sides and angles. Calculate missing sides, angles, area, and perimeter with comprehensive solutions.

Right Triangle Calculator – Complete Triangle Solver

Solve right triangles with any combination of sides and angles. Calculate missing sides, angles, area, and perimeter with comprehensive solutions.

Known Values*

What information you have

Side a

Length of side a

Side b

Length of side b

Hypotenuse (c)

Length of hypotenuse

Angle A (degrees)

Angle A in degrees

Angle B (degrees)

Angle B in degrees

📐

Math visualization will appear here

Solving Right Triangles

A right triangle has one 90° angle and can be completely solved with just two pieces of information (excluding the right angle). This calculator uses trigonometry and the Pythagorean theorem to find all missing sides and angles.

Trigonometric Relationships

Key trigonometric ratios:

sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
Angles in a triangle sum to 180° (90° + A + B = 180°)
Complementary angles: A + B = 90° in right triangles

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your known values
Enter your side a
Enter your side b
Enter your hypotenuse (c)
Enter your angle a (degrees)
Enter your angle b (degrees)
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Right Triangle Calculator – Complete Triangle Solver?

100% free and no registration required
Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
Privacy-focused - your data never leaves your browser
Educational content to help you understand the results

Frequently Asked Questions

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