1. What is the 3-4-5 Rule?

The 3-4-5 rule is a mathematical principle used to verify right angles in construction and geometry. It states that a triangle with sides measuring 3, 4, and 5 units will always form a perfect right triangle.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( a \) — Length of first side
• \( b \) — Length of second side
• \( c \) — Length of hypotenuse

Explanation: For the classic 3-4-5 triangle: \( \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \)

3. Importance of the 3-4-5 Rule

Details: This rule is essential in construction, carpentry, and surveying for ensuring perfect right angles. It's used for laying out foundations, checking square corners, and verifying perpendicular lines.

4. Using the Calculator

Tips: Enter the lengths of two perpendicular sides. The calculator will compute the hypotenuse and verify if the measurements follow the exact 3-4-5 ratio.

5. Frequently Asked Questions (FAQ)

Q1: Why is the 3-4-5 rule so important?
A: It provides a simple, reliable method to create perfect right angles without complex measuring tools, making it invaluable in construction.

Q2: Does the rule work with multiples of 3-4-5?
A: Yes! Triangles with sides 6-8-10, 9-12-15, etc., also form right triangles due to proportional scaling.

Q3: Can I use this for any unit of measurement?
A: Absolutely! The rule works with any unit system - inches, feet, meters, centimeters - as long as the ratio remains 3:4:5.

Q4: What if my sides aren't exactly 3 and 4?
A: The calculator will still compute the correct hypotenuse using the Pythagorean theorem, but it won't verify as a perfect 3-4-5 triangle.

Q5: Is this only for construction?
A: While primarily used in construction, the principle applies to any field requiring right angle verification, including mathematics education and engineering.