1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines the non-right angles of a right triangle when you know the lengths of two sides.

Purpose: It helps in geometry, construction, and engineering projects where angle measurements are needed from known side lengths.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( θ \) — Angle in degrees (between side a and hypotenuse)
• \( a \) — Length of adjacent side (meters)
• \( b \) — Length of opposite side (meters)

Explanation: The arctangent function calculates the angle whose tangent is the ratio of opposite to adjacent side. The other angle is simply 90° minus this angle.

3. Importance of Angle Calculation

Details: Accurate angle calculation is crucial for proper construction, roof pitch determination, and various engineering applications.

4. Using the Calculator

Tips: Enter the lengths of any two sides (a and b) in meters. Both values must be > 0. The calculator will determine both non-right angles.

5. Frequently Asked Questions (FAQ)

Q1: Which side is a and which is b?
A: Side 'a' is adjacent to the angle being calculated, side 'b' is opposite to it. The hypotenuse is the longest side.

Q2: What if I know the hypotenuse and one side?
A: Use the arcsine or arccosine functions instead. We may add this functionality in a future version.

Q3: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.

Q4: Can I use different units?
A: The calculator uses meters, but you can use any unit as long as both sides use the same unit.

Q5: What if my triangle isn't right-angled?
A: This calculator only works for right triangles. For other triangles, you would need different formulas.