1. What is a Right Triangle Calculator?

Definition: This calculator computes the hypotenuse of a right triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and construction professionals calculate missing side lengths in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Hypotenuse (longest side)
• \( a \) — First leg of the triangle
• \( b \) — Second leg of the triangle

Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in geometry, construction, navigation, and many engineering applications.

4. Using the Calculator

Tips: Enter the lengths of both legs (a and b) in meters. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate a leg if I know the hypotenuse?
A: Yes, rearrange the formula: \( a = \sqrt{c² - b²} \). Future versions may include this functionality.

Q2: What units should I use?
A: The calculator works with any consistent units (meters, feet, etc.), but displays meters by default.

Q3: Does this work for non-right triangles?
A: No, you would need the Law of Cosines for non-right triangles.

Q4: How precise are the results?
A: Results are accurate to 3 decimal places for most practical applications.

Q5: Can I calculate the area with this?
A: Not directly, but you can calculate area as \( \frac{1}{2}ab \) once you know both legs.