1. What is a Right Triangle Side Length Calculator?

Definition: This calculator computes the length of one side (a) of a right triangle using the Pythagorean theorem, given the hypotenuse (c) and the other side (b).

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

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Length of the unknown side (meters)
• \( b \) — Length of the known side (meters)
• \( c \) — Length of the hypotenuse (meters)

Explanation: The square of the hypotenuse minus the square of the known side equals the square of the unknown side.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in geometry, construction, navigation, and various engineering applications.

4. Using the Calculator

Tips: Enter the hypotenuse (c) and one side (b) in meters. Both values must be positive numbers, and the hypotenuse must be longer than the side.

5. Frequently Asked Questions (FAQ)

Q1: What if I know sides a and b but need c?
A: Use \( c = \sqrt{a^2 + b^2} \) instead.

Q2: What units should I use?
A: The calculator uses meters, but any consistent unit will work (cm, inches, feet, etc.).

Q3: Why does the hypotenuse need to be longer?
A: By definition, the hypotenuse is always the longest side in a right triangle.

Q4: Can this calculator handle decimal inputs?
A: Yes, you can enter decimal values up to two decimal places.

Q5: What if I get an error message?
A: Check that your hypotenuse is longer than the side length and both values are positive.