Right Triangle Calculator
Enter any two values to calculate the remaining properties of the right triangle. The calculator will automatically determine the missing values.
Side a:
Side b:
Hypotenuse (c):
Angle α:
Angle β:
Area:
Perimeter:
Height (h):
Understanding Right Triangles
A right triangle is a triangle containing one 90-degree angle. It's one of the most fundamental shapes in geometry and trigonometry.
Key Properties
- One angle is always 90 degrees (right angle)
- The sum of the other two angles is 90 degrees
- The longest side (hypotenuse) is opposite to the right angle
- Follows the Pythagorean Theorem: a² + b² = c²
Common Applications
- Architecture and Construction
- Engineering and Design
- Navigation and Surveying
- Physics and Mathematics
Special Right Triangles
30-60-90 Triangle
In this triangle, if the shortest side is x:
- The hypotenuse is 2x
- The remaining side is x√3
- Angles are 30°, 60°, and 90°
45-45-90 Triangle
In this isosceles right triangle:
- The two legs are equal
- If a leg is x, the hypotenuse is x√2
- Both non-right angles are 45°