Right Triangle Calculator | ABC with ∠C = 90°

Pythagorean Theorem:

\[ AB = \sqrt{AC^2 + BC^2} \]

Hypotenuse AB (meters):

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1. What is a Right Triangle Calculator?

Definition: This calculator computes the hypotenuse of a right-angled triangle given the lengths of the other two sides.

Purpose: It helps students, engineers, and construction professionals quickly solve right triangle problems.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ AB = \sqrt{AC^2 + BC^2} \]

Where:

\( AB \) — Hypotenuse (side opposite the right angle)
\( AC \) — One leg of the right triangle
\( BC \) — Other leg of the right triangle

Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides.

3. Importance of Right Triangle Calculations

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

4. Using the Calculator

Tips: Enter the lengths of sides AC and BC in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse and one side?
A: Rearrange the formula: \( AC = \sqrt{AB^2 - BC^2} \). We can modify this calculator to handle that case if needed.

Q2: Does this work for any right triangle?
A: Yes, as long as angle C is 90° and you know the lengths of the other two sides.

Q3: What units should I use?
A: The calculator uses meters by default, but any consistent unit will work (cm, ft, etc.).

Q4: How precise are the results?
A: Results are displayed to 3 decimal places for most practical applications.

Q5: Can I calculate angles with this?
A: Not directly, but we could extend the calculator to include angle calculations using trigonometric functions.