1. What is a Right Triangle?

Definition: A right triangle is a triangle with one 90-degree angle (right angle). The side opposite the right angle is called the hypotenuse.

Purpose: Right triangles are fundamental in geometry and have practical applications in construction, navigation, and physics.

2. How Does the Pythagorean Theorem Work?

The theorem states:

Where:

• \( c \) — Hypotenuse (longest side, opposite the right angle)
• \( a \) and \( b \) — Legs of the triangle (other two sides)

Explanation: The sum of the squares of the two legs equals the square of the hypotenuse.

3. Importance of Right Triangles

Details: Right triangles are used in construction for ensuring square corners, calculating roof pitches, and determining distances in surveying.

4. Using the Calculator

Tips: Enter any two known sides to calculate the third. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between legs and hypotenuse?
A: The legs form the right angle, while the hypotenuse is opposite the right angle and is always the longest side.

Q2: Can I use this for non-right triangles?
A: No, this calculator only works for right triangles. For other triangles, you would need different formulas.

Q3: What units should I use?
A: The calculator works with any consistent units (meters, feet, etc.), just be sure to use the same units for all sides.

Q4: How accurate are the results?
A: Results are mathematically precise, but real-world measurements may have practical limitations.

Q5: Can I calculate angles with this?
A: This calculator only calculates side lengths. For angles, you would need trigonometric functions.