1. What is a Right Angle Triangle Calculator?

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

Purpose: It helps students, engineers, and construction professionals quickly determine the longest side of a right triangle when the other 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 length of the hypotenuse.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in geometry, construction, navigation, and various engineering applications where precise measurements are crucial.

4. Using the Calculator

Tips: Enter the lengths of both legs (sides a and b) in meters. Both values must be greater than 0. The calculator will output the hypotenuse length.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, this calculator only works for right-angled triangles. For other triangles, you would need different formulas like the Law of Cosines.

Q2: What units should I use?
A: The calculator works with any consistent units (meters, feet, inches), but outputs will be in the same unit as inputs.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q4: Can I calculate one leg if I know the hypotenuse and other leg?
A: Not with this version. This calculator specifically finds the hypotenuse given both legs.

Q5: Why is this theorem important?
A: The Pythagorean theorem is fundamental in geometry and has countless real-world applications in construction, navigation, physics, and more.