Calculate Right Triangle Hypotenuse

Pythagorean Theorem:

\[ c = \sqrt{a^2 + b^2} \]

Hypotenuse (c): meters

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1. What is the Pythagorean Theorem?

Definition: The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Purpose: This calculator helps find the length of the hypotenuse when you know the lengths of the other two sides of a right triangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = \sqrt{a^2 + b^2} \]

Where:

\( c \) — Length of the hypotenuse
\( a \) — Length of side A
\( b \) — Length of side B

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

3. Importance of the Pythagorean Theorem

Details: This fundamental geometric principle is used in construction, navigation, physics, computer graphics, and many other fields.

4. Using the Calculator

Tips: Enter the lengths of both sides in meters (or any consistent unit). 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: Any consistent unit (meters, feet, inches) can be used as long as both sides use the same unit.

Q3: Can I calculate a side if I know the hypotenuse?
A: Yes, rearrange the formula: \( a = \sqrt{c^2 - b^2} \)

Q4: How accurate is this calculation?
A: The calculation is mathematically precise when using exact values.

Q5: What if my triangle isn't right-angled?
A: You would need to use the Law of Cosines instead for non-right triangles.