Right Angle Triangle Calculator with Degrees

This right angle triangle calculator helps you determine missing sides and angles when you know at least two values in a right-angled triangle. The calculator works with degrees and provides a visual representation of the triangle.

How to Use This Calculator

To use the right angle triangle calculator with degrees:

Enter at least two known values in the triangle (two sides or one side and one angle).
Select the units for each measurement (degrees for angles, units for sides).
Click "Calculate" to compute the missing values.
Review the results and chart visualization.
Use the "Reset" button to clear all fields and start over.

Note: The calculator assumes the triangle is right-angled. For non-right-angled triangles, use our general triangle calculator.

Formulas Used

The calculator uses these fundamental trigonometric relationships for right-angled triangles:

Sine Rule: sin(θ) = opposite/hypotenuse

Cosine Rule: cos(θ) = adjacent/hypotenuse

Tangent Rule: tan(θ) = opposite/adjacent

Pythagorean Theorem: a² + b² = c² (where c is the hypotenuse)

The calculator automatically selects the appropriate formula based on which values you provide.

Worked Examples

Example 1: Find the Hypotenuse

Given two legs of 3 units and 4 units, the hypotenuse is calculated as:

c = √(3² + 4²) = √(9 + 16) = √25 = 5 units

Example 2: Find an Angle

Given one leg of 1 unit and hypotenuse of 2 units, the angle θ opposite the leg is:

θ = arcsin(1/2) ≈ 30°

Interpreting Results

The calculator provides:

All three sides of the triangle (a, b, c)
All three angles (α, β, γ)
A visual chart showing the triangle proportions

Always verify that the sum of angles equals 180° and that the Pythagorean theorem holds true for your specific triangle.

Frequently Asked Questions

What is a right angle triangle?

A right angle triangle is a triangle with one 90° angle, formed by two perpendicular sides (legs) and the hypotenuse (the side opposite the right angle).

Can I use this calculator for non-right triangles?

No, this calculator is specifically designed for right-angled triangles. For other triangle types, use our general triangle calculator.

What if I don't know any angles?

You can calculate angles if you know at least one side and the hypotenuse, or two sides (using the Pythagorean theorem).