1. What is the Pythagorean Theorem Calculator?

Definition: This calculator computes the length of one side of a right-angled triangle when you know the lengths of the other two sides.

Purpose: It helps students, engineers, and construction professionals solve for missing sides in right triangles.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem formula:

Where:

• \( a \) — The side opposite the right angle (result)
• \( b \) — One adjacent side (input)
• \( c \) — The hypotenuse (longest side, input)

Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides.

3. Importance of Right Triangle Calculations

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

4. Using the Calculator

Tips: Enter the lengths of side b (adjacent) and side c (hypotenuse). Side c must be longer than side b. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if I know sides a and b but need c?
A: Use \( c = \sqrt{a^2 + b^2} \). This calculator focuses on finding side a.

Q2: What units should I use?
A: Any consistent unit (meters, feet, etc.). The result will be in the same unit as your inputs.

Q3: Why does side c need to be larger than side b?
A: In a right triangle, the hypotenuse (c) is always the longest side.

Q4: What if I get an error?
A: Ensure side c > side b and both values are positive numbers.

Q5: Can this calculate angles?
A: No, this only calculates side lengths. Use trigonometry for angles.