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 constructing right angles, determining distances, and solving real-world problems involving right triangles.

4. Using the Calculator

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

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 are in 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, though real-world measurements may have practical limitations.

Q5: What if my triangle isn't right-angled?
A: You would need to use the Law of Cosines or other trigonometric formulas instead.