1. What is the Pythagorean Theorem?

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (longest side)
• \( a \) — First leg of the triangle
• \( b \) — Second leg of the triangle

Explanation: The theorem applies only to right-angled triangles and relates all three sides of the triangle.

3. Importance of Right Angle Triangle Calculation

Details: The Pythagorean theorem is fundamental in geometry and has practical applications in construction, navigation, physics, and engineering.

4. Using the Calculator

Tips: Enter the lengths of both legs (a and b) in any consistent units. The calculator will return the hypotenuse in the same units.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator find a leg if I know the hypotenuse and one leg?
A: This version only calculates the hypotenuse. For finding legs, the equation can be rearranged as \( a = \sqrt{c² - b²} \).

Q2: What units should I use?
A: Any consistent length units (meters, feet, inches, etc.) can be used as long as both inputs are in the same units.

Q3: Does this work for non-right triangles?
A: No, the Pythagorean theorem only applies to right-angled triangles. For other triangles, use the Law of Cosines.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact. Any rounding is only in the displayed result.

Q5: Can I use decimals or fractions?
A: Yes, the calculator accepts decimal inputs for precise measurements.