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Right Triangle Calculator CSG Network

Pythagorean Theorem:

\[ c = \sqrt{a² + b²} \]

meters
meters
meters

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1. What is a Right Triangle Calculator?

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

Purpose: It helps students, engineers, and construction professionals quickly determine the length of the hypotenuse when the other two sides are known.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ c = \sqrt{a² + b²} \]

Where:

Explanation: The squares of the two legs are added together, and the square root of the 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 both legs in meters (or any consistent unit). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for the sides?
A: Yes, as long as both sides use the same unit (meters, feet, etc.), the result will be in that same unit.

Q2: What if I know the hypotenuse and one side?
A: Rearrange the formula: \( a = \sqrt{c² - b²} \). We may add this functionality in a future version.

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

Q4: Does this work for non-right triangles?
A: No, this calculator only works for right triangles. For other triangles, use the Law of Cosines.

Q5: Can I calculate the area with this?
A: Not directly, but you can easily calculate area as \( \frac{1}{2} \times a \times b \) once you have both legs.

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