1. What is a Right Angle Triangle Calculator?

Definition: This calculator determines the hypotenuse of a right-angled triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and construction professionals quickly calculate the third side of a right triangle when two sides are known.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

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

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

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.

4. Using the Calculator

Tips: Enter the lengths of any two perpendicular sides (a and b) in meters. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate a leg if I know the hypotenuse and one leg?
A: Yes, you can 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 works with any consistent units (meters, feet, etc.), but all inputs must be in the same units.

Q4: How accurate are the results?
A: Results are mathematically precise, though practical measurements may have some error.

Q5: Can I use this for 3D calculations?
A: The same principle extends to 3D: \( d = \sqrt{a² + b² + c²} \)