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:

• \( a \) — Length of one side (meters)
• \( b \) — Length of other side (meters)
• \( hyp \) — Length of hypotenuse (meters)

Explanation: This fundamental relation in Euclidean geometry allows calculating any side of a right triangle when the other two sides are known.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are essential in architecture, engineering, navigation, physics, and many other fields where precise measurements and angles are required.

4. Using the Calculator

Tips: Enter lengths of two sides 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 two sides. A future version may include calculation of other sides.

Q2: What units does this calculator use?
A: The calculator uses meters, but the same formula works with any consistent unit of measurement.

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

Q4: How accurate are the results?
A: Results are mathematically precise for perfect right triangles. Real-world measurements may have additional error sources.

Q5: Can I use this for 3D calculations?
A: The basic Pythagorean theorem applies to 2D. For 3D space, you would need to extend the calculation with an additional dimension.