1. What is a Right Triangle?

A right triangle is a triangle with one angle exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called legs. The Pythagorean theorem relates these sides.

2. How the Calculator Works

The calculator uses the Pythagorean theorem:

Where:

• \( a \) and \( b \) — Legs of the triangle
• \( c \) — Hypotenuse (longest side)

Explanation: The calculator checks if the square of the longest side equals the sum of squares of the other two sides (allowing for small floating-point differences).

3. Importance of Right Triangle Verification

Details: Verifying right triangles is essential in geometry, construction, navigation, and various engineering applications where precise angles are required.

4. Using the Calculator

Tips: Enter all three side lengths in the same units. The calculator will automatically identify the longest side as the potential hypotenuse.

5. Frequently Asked Questions (FAQ)

Q1: Does the order of input matter?
A: No, the calculator will automatically sort the sides to identify the hypotenuse.

Q2: What units should I use?
A: Any consistent length units (cm, inches, meters, etc.) as long as all three sides use the same unit.

Q3: How precise is the calculation?
A: The calculator allows for minor floating-point differences (0.0001) to account for rounding in user inputs.

Q4: What if my sides don't form any triangle?
A: The calculator only checks the Pythagorean condition. For triangle inequality (a + b > c), you'd need a different verification.

Q5: Can this be used for 3D right triangles?
A: No, this is specifically for 2D right triangles. For 3D, you would need to consider spatial geometry.