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 right angles, roof framing, navigation, and solving various geometric problems.

4. Using the Calculator

Tips: Enter the lengths of both legs (sides a and b) in meters. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator be used 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 you can use any unit as long as both sides use the same unit.

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

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

Q5: Why is this theorem important?
A: It's fundamental in geometry with applications in physics, engineering, computer graphics, and more.