1. What is a 90 Degree Triangle Length Calculator?

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

Purpose: It helps students, engineers, and construction professionals quickly calculate missing side lengths in right triangles.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Length of hypotenuse (longest side)
• \( a \) — Length of one leg
• \( b \) — Length of other leg

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 Right Triangle Calculations

Details: Accurate right triangle calculations are essential in construction, navigation, engineering, and various STEM fields.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for non-right triangles?
A: No, this calculator only works for right-angled (90-degree) triangles. For other triangles, use the Law of Cosines.

Q2: What units should I use?
A: The calculator works with any consistent units (meters, feet, etc.), but results will be in the same units as input.

Q3: How accurate are the results?
A: Results are mathematically precise, though displayed to 3 decimal places for readability.

Q4: Can I calculate a leg if I know the hypotenuse?
A: This version calculates hypotenuse from legs. A future version may include that functionality.

Q5: Why is this theorem important?
A: It's fundamental in geometry with applications in physics, engineering, computer graphics, and more.