1. What is Right Triangle Angle Calculation?

This calculator determines the non-right angles of a right triangle when given the lengths of the two legs (sides adjacent to the right angle). The angles are calculated using trigonometric functions.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( a \) — Length of side opposite to angle θ
• \( b \) — Length of side adjacent to angle θ
• \( \theta \) — First acute angle
• \( 90° - \theta \) — Complementary angle

Explanation: The arctangent function converts the ratio of opposite/adjacent sides into an angle measurement.

3. Importance of Angle Calculation

Details: Calculating angles in right triangles is fundamental in trigonometry, engineering, physics, and many practical applications like construction and navigation.

4. Using the Calculator

Tips: Enter lengths of both legs (must be positive numbers), select angle unit (degrees or radians). The calculator will display both acute angles of the right triangle.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse instead?
A: You can use arcsine or arccosine functions instead, depending on which sides you know.

Q2: Can I use this for non-right triangles?
A: No, this calculator is specifically for right triangles. For other triangles, you would need the Law of Cosines or Law of Sines.

Q3: What's the difference between degrees and radians?
A: Degrees are more common in everyday use (circle = 360°), while radians are often used in higher mathematics (circle = 2π radians).

Q4: How accurate are the results?
A: Results are accurate to at least 2 decimal places for degrees and 4 decimal places for radians.

Q5: What if I enter zero values?
A: The calculator requires positive values for both sides as zero would not form a valid triangle.