1. What is the 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 formula:

Where:

• \( c \) — Hypotenuse (longest side, opposite the right angle)
• \( a \) — Length of one leg of the triangle
• \( b \) — Length of the other leg of the 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, computer graphics, and various engineering applications involving right angles.

4. Using the Calculator

Tips: Enter the lengths of both legs (a and b) in meters. Both values must be greater than 0. The calculator will display the hypotenuse length.

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, you would need to 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 are the results?
A: Results are accurate to 3 decimal places. For most practical applications, this is sufficient.

Q4: What if I only know one side and the hypotenuse?
A: You would need to rearrange the formula to \( b = \sqrt{c^2 - a^2} \). This calculator doesn't handle that case.

Q5: Can I use negative numbers?
A: No, side lengths must be positive numbers as physical distances cannot be negative.