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Calculate Length of Hypotenuse Right Triangle

Hypotenuse Formula:

\[ c = \sqrt{a² + b²} \]

meters
meters
meters

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1. What is the Hypotenuse Calculator?

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

Purpose: It helps students, engineers, and construction professionals quickly calculate the longest side of a right triangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = \sqrt{a² + b²} \]

Where:

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

3. Importance of Hypotenuse Calculation

Details: Accurate hypotenuse calculation is essential in construction, navigation, and various engineering applications involving right angles.

4. Using the Calculator

Tips: Enter the lengths of both sides in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for any triangle?
A: No, only for right-angled triangles where one angle is exactly 90 degrees.

Q2: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as both sides are in the same unit.

Q3: What if I know the hypotenuse and one side?
A: Rearrange the formula to \( b = \sqrt{c² - a²} \) to find the missing side.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect right triangles.

Q5: Can I use this for 3D calculations?
A: For 3D space, you would need to extend the formula to include the third dimension.

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