1. What is the Hypotenuse of a Right Triangle?

Definition: The hypotenuse is the longest side of a right triangle, opposite the right angle.

Purpose: Calculating the hypotenuse is essential in geometry, construction, navigation, and various engineering applications.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (meters)
• \( a \) — First side (meters)
• \( b \) — Second side (meters)

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

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is crucial for building structures, roof framing, bridge construction, and any project involving right angles.

4. Using the Calculator

Tips: Enter the lengths of both legs of the right triangle 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, the Pythagorean theorem only applies to right triangles. For other triangles, use the Law of Cosines.

Q2: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as both sides are in the same unit.

Q3: How accurate is the result?
A: The calculator provides results to 3 decimal places, suitable for most practical applications.

Q4: What if I only know one side and an angle?
A: You would need to use trigonometric functions (sine, cosine) instead of the Pythagorean theorem.

Q5: Can this be used for 3D space calculations?
A: For 3D space, the formula extends to \( d = \sqrt{a² + b² + c²} \) for the space diagonal.