Right Triangle Calculator
Calculate missing sides, angles, area, and perimeter of right triangles using the Pythagorean theorem with detailed step-by-step solutions.
Right Triangle Calculator
Enter any two sides of the right triangle. Leave the third side blank to calculate it.
About Right Triangles
A right triangle is a triangle that has one angle measuring exactly 90 degrees. The side opposite to the right angle is called the hypotenuse and is the longest side. The other two sides are called legs.
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides: a² + b² = c²
Key Formulas
- Pythagorean Theorem: a² + b² = c²
- Area: Area = (1/2) × base × height = (1/2) × a × b
- Perimeter: P = a + b + c
- Angles: A = arcsin(a/c), B = arcsin(b/c), C = 90°
Special Right Triangles
- 45-45-90 Triangle: Sides are in ratio 1:1:√2
- 30-60-90 Triangle: Sides are in ratio 1:√3:2
- 3-4-5 Triangle: Classic Pythagorean triple
- 5-12-13 Triangle: Another common Pythagorean triple