1. What is a Hypotenuse Calculator?

Definition: This calculator computes the length of the hypotenuse (c) in a right triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and construction professionals quickly determine the longest side of a right triangle.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (longest side)
• \( a \) — First leg of the right triangle
• \( b \) — Second leg of the right triangle

Explanation: The squares of both legs are added together, and the square root of this sum gives the hypotenuse length.

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is essential in construction, navigation, and engineering projects involving right angles.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, this calculator only works for 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 is the result?
A: The result is accurate to three decimal places, sufficient for most practical applications.

Q4: Can I calculate a leg if I know the hypotenuse?
A: Not with this calculator. You would need to rearrange the formula: \( a = \sqrt{c^2 - b^2} \).

Q5: Why is the hypotenuse always the longest side?
A: Mathematically, the sum of squares ensures the hypotenuse is longer than either individual leg.