1. What is the Pythagorean Theorem?

Definition: In a right-angled triangle, the square of the hypotenuse (side opposite the right angle) is equal to the sum of the squares of the other two sides.

Purpose: This calculator helps find the length of the hypotenuse when you know the lengths of the other two sides in a right-angled triangle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( AB \) — Hypotenuse (meters)
• \( AC \) — One side of the right angle (meters)
• \( BC \) — Other side of the right angle (meters)

Explanation: The squares of both sides are added together, and the square root of that sum gives the hypotenuse length.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in construction, navigation, physics, and many engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of sides AC and BC in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, this calculator only works for right-angled triangles. For other triangles, you would need different formulas.

Q2: What units should I use?
A: The calculator uses meters, but you can use any unit as long as you're consistent (all measurements in the same unit).

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, which is sufficient for most practical applications.

Q4: What if I know the hypotenuse and one side?
A: You can rearrange the formula to find the missing side: \( BC = \sqrt{AB^2 - AC^2} \).

Q5: Why is this theorem important?
A: It's one of the fundamental relationships in geometry with countless practical applications in science and engineering.