1. What is a Right Triangle Angle Calculator?

Definition: This calculator determines the unknown acute angle in a right triangle when one acute angle is known.

Purpose: It helps students and professionals quickly find missing angles in right-angled triangles for geometry problems and construction projects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — First acute angle (degrees)
• \( B \) — Second acute angle (degrees)
• \( C \) — Right angle (always 90°)

Explanation: In any right triangle, the two non-right angles must add up to 90 degrees.

3. Importance of Right Triangle Angle Calculation

Details: Understanding angle relationships in right triangles is fundamental to trigonometry, construction, engineering, and many practical applications.

4. Using the Calculator

Tips: Enter either Angle A or Angle B (leave the other field empty). The calculator will compute the missing angle. Values must be between 0 and 90 degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why do the angles add up to 90°?
A: Because the three angles in any triangle sum to 180°, and the right angle is always 90°, leaving 90° for the other two angles.

Q2: Can I enter both angles?
A: Yes, but they must sum to exactly 90° or the calculator will ignore them.

Q3: What if I enter an angle ≥ 90°?
A: The calculator will ignore invalid inputs (angles must be > 0° and < 90°).

Q4: How precise are the calculations?
A: Results are shown to one decimal place for precision.

Q5: Can this calculator handle radians?
A: No, this version works exclusively in degrees.