1. What is a Right Triangle Calculator?

Definition: This calculator checks whether three given side lengths form a right triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and construction professionals verify right angles in triangular structures or designs.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( a \) — Length of first side (meters)
• \( b \) — Length of second side (meters)
• \( c \) — Length of hypotenuse (longest side, meters)

Explanation: If the sum of squares of the two shorter sides equals the square of the longest side, it's a right triangle.

3. Importance of Right Triangle Verification

Details: Right triangles are fundamental in construction, navigation, and design. Accurate verification ensures structural integrity and proper angles.

4. Using the Calculator

Tips: Enter all three side lengths in meters. The longest side should be entered as 'c'. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if my sides are in different units?
A: Convert all sides to the same unit (preferably meters) before entering them.

Q2: Does the order of sides matter?
A: The longest side must be entered as 'c', but a and b can be in any order.

Q3: Why might my triangle not be right even if the calculation is close?
A: The calculator allows for minor floating-point errors (0.0001 tolerance) but significant differences mean it's not a right triangle.

Q4: Can I use this for 3D triangles?
A: No, this only works for 2D right triangles. For 3D, you'd need different calculations.

Q5: What if I get "NO" but the sides look like they should work?
A: Double-check your measurements and ensure you've identified the hypotenuse (longest side) correctly.