1. What is a Hypotenuse Calculator?

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

Purpose: It helps students, engineers, and construction professionals quickly 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 right angle
• \( b \) — Second side of right angle

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 where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of both sides (a and b) in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, this calculator only works for right-angled triangles. For other triangles, use the Law of Cosines.

Q2: What units does this calculator use?
A: The calculator uses meters, but you can use any unit as long as both sides are in the same unit.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q4: What if I only know one side and the hypotenuse?
A: You would need to rearrange the formula to \( b = \sqrt{c² - a²} \) to find the missing side.

Q5: Can I calculate the area with this?
A: No, this only calculates the hypotenuse. Area would be \( \frac{1}{2} \times a \times b \).