1. What is the Hypotenuse of a Right Angle Triangle?

Definition: The hypotenuse is the longest side of a right-angled 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 (longest side)
• \( a \) — First leg of the triangle
• \( b \) — Second leg of the triangle

Explanation: The squares of the two shorter sides are added together, and the square root of this sum gives the hypotenuse length.

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is crucial for building stable structures, creating accurate maps, and solving real-world distance problems.

4. Using the Calculator

Tips: Enter the lengths of both legs of the right triangle in meters (or any consistent unit). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, the Pythagorean theorem only works for right-angled triangles. For other triangles, use the Law of Cosines.

Q2: What units should I use?
A: Any consistent unit can be used (meters, feet, inches), but all inputs must be in the same unit.

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

Q4: Can the hypotenuse be shorter than the other sides?
A: No, by definition, the hypotenuse is always the longest side in a right-angled triangle.

Q5: What if I know the hypotenuse and one side?
A: You can rearrange the formula to find the missing side: \( a = \sqrt{c^2 - b^2} \)