1. What is a Hypotenuse Calculator?

Definition: This calculator computes the length of the hypotenuse in a right-angled 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 triangle
• \( b \) — Second leg of the triangle

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

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is essential in construction, navigation, and various engineering applications where right angles are involved.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Does this work for any triangle?
A: No, only for right-angled triangles where one angle is exactly 90 degrees.

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

Q3: Can I calculate a leg if I know the hypotenuse?
A: Yes, by rearranging the formula: \( a = \sqrt{c^2 - b^2} \).

Q4: What if my inputs are negative?
A: The calculator only accepts positive values since lengths can't be negative.

Q5: How precise are the results?
A: Results are shown to 3 decimal places for most practical applications.