1. What is the Pythagorean Theorem?

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

Purpose: This calculator helps find the length of any side of a right triangle when the other two sides are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Hypotenuse (meters)
• \( a \) — First side (meters)
• \( b \) — Second side (meters)

Explanation: The squares of both known sides are added together, and the square root of this sum gives the length of the hypotenuse.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in construction, navigation, physics, and many engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of any two sides in meters. The calculator will compute the third side. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I find a leg if I know the hypotenuse and one leg?
A: Yes, rearrange the formula: \( a = \sqrt{c² - b²} \)

Q2: Does this work for non-right triangles?
A: No, for other triangles you would need to use the Law of Cosines or Law of Sines.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as all sides use the same unit.

Q4: How accurate are the results?
A: Results are mathematically precise based on the input values, displayed to 3 decimal places.

Q5: What if I get an error?
A: Ensure both input values are positive numbers and you're working with a right triangle.