Solve Right Triangles Easily
This free Right Triangle Calculator helps you find missing sides, angles, and the hypotenuse of a right-angled triangle using proven trigonometric formulas and the Pythagorean theorem. By entering any two known values, the tool instantly calculates all remaining measurements with clear, step-by-step logic.
Designed for students, teachers, engineers, and practical geometry applications, this calculator simplifies right triangle problem-solving for homework, exams, construction planning, and real-world measurements — no manual calculations required.
Triangle Measurements
Right Triangle Labeling Guide:
Results
Final Answer
Known & Unknown Values
| Element | Value | Status |
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Step-by-Step Calculation
Enter at least two values to calculate the triangle measurements
Triangle Diagram
Test Your Right Triangle Knowledge
Challenge yourself with these real-world right triangle problems. Each question tests your understanding of how right triangles apply to everyday situations.
Your Quiz Results
About Right Triangles
A right triangle is a type of triangle that has one angle equal to 90°. The side opposite the right angle is called the hypotenuse, which is always the longest side. The other two sides are called legs.
The Pythagorean theorem (a² + b² = c²) and trigonometric ratios (sine, cosine, tangent) allow us to calculate all sides and angles if two values are known.
Real-World Applications
- Construction: Calculating roof pitches and stair dimensions
- Navigation: Determining distances and directions
- Physics: Analyzing forces and vectors
- Engineering: Designing structures and mechanisms
- Computer Graphics: Creating 3D models and animations
Disclaimer
This tool is provided for educational and informational purposes only. While we strive for accuracy, we make no warranties or guarantees regarding the completeness, reliability, or accuracy of the calculations. Use of this tool is at your own risk. We are not responsible for any damages or losses resulting from the use of this calculator.