1. What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

2. How Does the Calculator Work?

The calculator uses the Pythagorean Theorem:

Where:

• \( hyp \) — Hypotenuse (longest side)
• \( a \) — First side of the right triangle
• \( b \) — Second side of the right triangle

Explanation: This fundamental relation in Euclidean geometry allows calculation of any side if the other two are known.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are essential in various fields including architecture, engineering, physics, and navigation.

4. Using the Calculator

Tips: Enter the lengths of two sides (a and b) in meters. Both values must be positive numbers. The calculator will compute the hypotenuse.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator find other sides if hypotenuse is known?
A: This version calculates hypotenuse from sides a and b. Future versions may include other calculation options.

Q2: What units does the calculator use?
A: The calculator uses meters, but the same calculation applies to any consistent unit of measurement.

Q3: Does this work for non-right triangles?
A: No, the Pythagorean Theorem only applies to right triangles. For other triangles, use the Law of Cosines.

Q4: How accurate are the results?
A: Results are accurate to two decimal places. For precise calculations, use exact values when possible.

Q5: Can I use negative values for sides?
A: No, side lengths must be positive numbers as physical lengths cannot be negative.