1. What is the Hypotenuse Calculator?

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

Purpose: It helps students, engineers, and construction professionals determine the longest side of a right triangle when the other two sides are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( c \) — Hypotenuse (longest side)
• \( a \) — First side of the right triangle
• \( b \) — Second side of the right triangle

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: 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 both sides in meters (or any consistent unit). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for the sides?
A: Yes, but both sides must use the same unit. The result will be in that same unit.

Q2: What if my triangle isn't right-angled?
A: This formula only works for right-angled triangles. For other triangles, use the Law of Cosines.

Q3: How accurate is the result?
A: The calculator provides results with 3 decimal places, but practical measurements may limit actual accuracy.

Q4: Can I calculate a side if I know the hypotenuse and one side?
A: Yes, rearrange the formula: \( a = \sqrt{c² - b²} \)

Q5: Why is this formula important in construction?
A: It's used for ensuring square corners, calculating roof pitches, and determining diagonal measurements.