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 (the legs).

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( a \) — Length of first leg (meters)
• \( b \) — Length of second leg (meters)

Explanation: The theorem applies only to right-angled triangles and relates all three sides of the triangle.

3. Importance of Hypotenuse Calculation

Details: Calculating the hypotenuse is fundamental in geometry, architecture, engineering, and various fields that involve right-angled measurements.

4. Using the Calculator

Tips: Enter the lengths of both legs in meters. Both values must be positive numbers. The calculator will compute the hypotenuse automatically.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for any triangle?
A: No, only for right-angled triangles where one angle is exactly 90 degrees.

Q2: What units should I use?
A: The calculator uses meters, but the theorem works with any consistent unit of measurement.

Q3: Can I use this for 3D space?
A: Yes, the theorem extends to 3D as \( d = \sqrt{x^2 + y^2 + z^2} \), but this calculator handles only 2D cases.

Q4: What if I know the hypotenuse and one leg?
A: You can rearrange the formula to find the missing leg: \( a = \sqrt{c^2 - b^2} \).

Q5: How accurate is this calculation?
A: The calculation is mathematically precise, assuming accurate input measurements.