Degrees of A Right Triangle Calculator

A right triangle is a triangle with one 90-degree angle. The other two angles are acute and always add up to 90 degrees. This calculator helps you find the degrees of the non-right angles when you know the lengths of the sides.

How to Use This Calculator

To calculate the degrees of a right triangle:

Enter the length of the side adjacent to the angle you want to find
Enter the length of the opposite side
Click "Calculate" to see the angle in degrees

The calculator will display the angle in degrees and show it visually on a chart.

Formula Explained

The degrees of an angle in a right triangle can be calculated using the tangent function:

angle = arctan(opposite / adjacent) × (180/π)

Where:

angle is the angle in degrees
opposite is the length of the side opposite the angle
adjacent is the length of the side adjacent to the angle
arctan is the inverse tangent function
π is approximately 3.14159

Note: The calculator automatically converts radians to degrees by multiplying by 180/π.

Worked Example

Let's find the angle opposite a side of length 4 when the adjacent side is 3:

Enter 4 in the opposite side field
Enter 3 in the adjacent side field
Click "Calculate"

The calculator will show that the angle is approximately 53.13 degrees.

Verification: tan⁻¹(4/3) ≈ 53.13° confirms our calculation.

Frequently Asked Questions

What is a right triangle?: A right triangle is a triangle with one 90-degree angle. The other two angles are acute and always add up to 90 degrees.
How do I find the degrees of a right triangle?: You can use the arctangent function with the opposite and adjacent sides. The calculator does this automatically.
What if I only know the hypotenuse?: If you only know the hypotenuse, you'll need to know at least one other side to find the angles.
Can I use this calculator for non-right triangles?: No, this calculator is specifically designed for right triangles.
Is the result always accurate?: The calculator uses standard trigonometric functions and provides precise results based on the inputs you provide.