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AC = √(AB² + BC²) Hypotenuse Calculator - Triangle ABC

Hypotenuse Formula (Pythagorean Theorem):

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

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meters

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1. What is a Hypotenuse Calculator for Right Triangle ABC?

Definition: This calculator computes the length of the hypotenuse (AC) in a right-angled triangle ABC where angle B is 90 degrees.

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

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

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

Where:

Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides in a right-angled triangle.

3. Importance of Hypotenuse Calculation

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

4. Using the Calculator

Tips: Enter the lengths of sides AB and BC in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What if my triangle isn't right-angled?
A: This calculator only works for right-angled triangles where angle B is exactly 90 degrees.

Q2: Can I use different units?
A: Yes, as long as you use the same unit for all measurements (e.g., all in feet or all in meters).

Q3: How accurate is the result?
A: The calculator provides results with 3 decimal places for precision.

Q4: What's the maximum length I can calculate?
A: There's no practical limit - the calculator can handle any positive real numbers.

Q5: Can I calculate one of the legs if I know the hypotenuse?
A: Not with this calculator - it's designed specifically to calculate the hypotenuse from the two legs.

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