1. What is the Right Triangle Calculator?

Definition: This calculator computes the hypotenuse of a right triangle using the Pythagorean theorem, showing all calculation steps.

Purpose: It helps students, engineers, and designers quickly find the hypotenuse while understanding the mathematical process.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (longest side, opposite the right angle)
• \( a \) — Length of one leg
• \( b \) — Length of the other leg

Explanation: The squares of both legs are summed, then the square root of this sum gives the hypotenuse length.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.

4. Using the Calculator

Tips: Enter the lengths of both legs in meters (or any consistent unit). 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: Any consistent units (meters, feet, inches) can be used as long as both sides use the same unit.

Q3: What if I know the hypotenuse and one side?
A: Rearrange the formula to solve for the unknown side: \( a = \sqrt{c^2 - b^2} \).

Q4: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q5: Why is the hypotenuse always the longest side?
A: Because the sum of squares ensures the hypotenuse value is greater than either individual side.