1. What is a Triangle Hypotenuse Calculator?

Definition: This calculator computes the length of the hypotenuse in a right-angled triangle given the lengths of the other two sides.

Purpose: It helps students, engineers, and construction professionals quickly determine the longest side of a right triangle.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (longest side)
• \( a \) — Length of first leg
• \( b \) — Length of second leg

Explanation: The squares of both legs 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 triangles are involved.

4. Using the Calculator

Tips: Enter the lengths of both legs 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 legs must use the same unit.

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

Q4: How accurate is the result?
A: The calculator provides results to 3 decimal places for precision.

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