1. What is the Missing Side Calculator?

Definition: This calculator finds the length of the missing side in a right triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and DIYers quickly determine unknown side lengths in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Missing side length
• \( b \) — Known side length
• \( c \) — Hypotenuse length

Explanation: The square of the hypotenuse minus the square of the known side gives the square of the missing side.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in construction, navigation, engineering, and many STEM fields.

4. Using the Calculator

Tips: Enter the hypotenuse and one known side length. Both values must be positive numbers, and the hypotenuse must be longer than the known side.

5. Frequently Asked Questions (FAQ)

Q1: What if I know both legs but not the hypotenuse?
A: Use \( c = \sqrt{a^2 + b^2} \) instead. This calculator solves for a missing leg, not the hypotenuse.

Q2: What units should I use?
A: Use any consistent units (meters, feet, inches) as long as both inputs use the same unit.

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

Q4: What if I get an error?
A: Check that your hypotenuse is longer than the known side and all values are positive.

Q5: Can this be used for non-right triangles?
A: No, this calculator only works for right triangles. Use the Law of Cosines for other triangles.