1. What is the Pythagorean Theorem?

Definition: 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.

Purpose: This calculator helps find the length of any side of a right triangle when you know the lengths of the other two sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Hypotenuse (meters)
• \( a \) — Side A (meters)
• \( b \) — Side B (meters)

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

3. Applications of Right Angle Triangle Calculations

Details: Used in construction, navigation, physics, engineering, and computer graphics for distance calculations and angle determinations.

4. Using the Calculator

Tips: Enter the lengths of any two sides to calculate the third. All values must be > 0. The calculator automatically determines which side to compute.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate any side of the triangle?
A: Yes, this calculator can find any side when you know the other two.

Q2: What units does the calculator use?
A: The calculator uses meters, but the same formula works for any unit of measurement as long as all sides use the same unit.

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

Q4: How accurate are the results?
A: Results are accurate to three decimal places, which is sufficient for most practical applications.

Q5: What if I only know one side and an angle?
A: You would need to use trigonometric functions (sine, cosine, tangent) which we can add to an advanced version of this calculator.