1. What is the Hypotenuse of a 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 (meters)
• \( a \) — First side (meters)
• \( b \) — Second side (meters)

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 precise angles, and solving real-world measurement problems.

4. Using the Calculator

Tips: Enter the lengths of both sides in meters. Both values must be greater than 0. The result will be in meters.

5. Frequently Asked Questions (FAQ)

Q1: Does this only work for right triangles?
A: Yes, the Pythagorean theorem only applies to right-angled triangles.

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: Can I calculate a side if I know the hypotenuse?
A: Yes, rearrange the formula: \( a = \sqrt{c² - b²} \).

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, limited only by the precision of your input values.

Q5: What if my triangle isn't right-angled?
A: You'll need to use the Law of Cosines instead: \( c² = a² + b² - 2ab\cos(C) \).