Right Triangle Side Calculator
Calculate the length of a missing side in a right triangle by providing one angle and one side.
Input Values
Enter the known angle and side of the right triangle to calculate the missing side.
Calculation Result
Right Triangle Visualization
Understanding Right Triangle Side Calculations
This tool helps you calculate the length of a missing side in a right triangle using trigonometric principles. A right triangle is a triangle with one angle measuring exactly 90 degrees. The sides of a right triangle are named relative to an acute angle (an angle less than 90 degrees):
- Hypotenuse: The longest side, opposite the right angle.
- Opposite Side: The side across from the angle you are considering.
- Adjacent Side: The side next to the angle you are considering (not the hypotenuse).
To use this calculator, you need to know one acute angle and the length of one side. Select the units for your angle (degrees or radians), input the angle value, and the length of the known side. Then, specify which side you know (opposite, adjacent, or hypotenuse) and which side you want to calculate. Click 'Calculate' to find the missing side length. The result and a visual representation of the triangle will be displayed.
This tool utilizes basic trigonometric ratios (sine, cosine, tangent) to solve for the unknown side. These ratios relate the angles and sides of a right triangle. For example, if you know an angle and the opposite side, you can find the adjacent side using the tangent function.