1. What is the Hypotenuse of a Right 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 sum of the squares of the two legs equals the square of the hypotenuse.

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is crucial for building right angles, roof framing, navigation, and many real-world applications.

4. Using the Calculator

Tips: Enter the lengths of both legs (must be positive numbers). The calculator will compute the hypotenuse length.

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use?
A: Any consistent unit (meters, feet, inches), but both sides must use the same unit.

Q3: What if I know the hypotenuse and one side?
A: Rearrange the formula: \( a = \sqrt{c^2 - b^2} \) to find the missing side.

Q4: How accurate is this calculation?
A: Mathematically precise, but real-world measurements may have practical limitations.

Q5: Can the sides be decimal numbers?
A: Yes, the calculator accepts decimal values for precise calculations.