1. What is the Hypotenuse Formula?

Definition: The hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Purpose: This calculator determines the length of the hypotenuse when you know the lengths of the other two sides.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

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

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

3. Importance of Hypotenuse Calculation

Details: Essential in construction, navigation, and various fields of engineering where right angles are involved.

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), but both sides must use the same unit.

Q3: What if I know the hypotenuse and one side?
A: Rearrange the formula: \( a = \sqrt{c^2 - b^2} \)

Q4: How accurate is this calculation?
A: Mathematically precise, assuming exact input measurements.

Q5: Can I use this for 3D calculations?
A: For 3D space, the formula extends to \( d = \sqrt{a^2 + b^2 + c^2} \)