Right Triangle Calculator Degrees

How to Use This Calculator

Using this right triangle calculator is simple. Follow these steps:

1. Enter the known values in the input fields. You can provide two sides and one angle, or one side and two angles.
2. Select the units for each measurement (degrees for angles, meters or feet for sides).
3. Click the "Calculate" button to compute the missing values.
4. Review the results displayed in the output section.
5. Use the reset button to clear all inputs and start over.

The calculator will automatically determine which values to solve for based on the inputs you provide. It uses trigonometric functions to find the missing components of the right triangle.

Formulas Used

This calculator uses the following trigonometric formulas to solve right triangles:

Where θ is one of the non-right angles in the triangle. The calculator can rearrange these formulas to solve for any missing side or angle based on the inputs provided.

For example, if you know two sides and want to find an angle, the calculator will use the appropriate inverse trigonometric function (asin, acos, or atan) to compute the angle in degrees.

Worked Examples

Example 1: Find the Hypotenuse

Given a right triangle with one leg of 5 meters and an opposite angle of 30 degrees, find the hypotenuse.

1. Enter 5 in the "Side A" field.
2. Enter 30 in the "Angle A" field.
3. Select "meters" for side units and "degrees" for angle units.
4. Click "Calculate".

The calculator will compute the hypotenuse using the formula: hypotenuse = side / sin(angle).

Example 2: Find an Angle

Given a right triangle with legs of 3 feet and 4 feet, find the angle opposite the 3-foot side.

1. Enter 3 in the "Side A" field.
2. Enter 4 in the "Side B" field.
3. Select "feet" for both side units.
4. Click "Calculate".

The calculator will compute the angle using the formula: angle = asin(opposite/hypotenuse).