1. What is a 30-60-90 Triangle?

Definition: A special right triangle with angles measuring 30°, 60°, and 90° with consistent side length ratios.

Properties: The sides are always in the ratio 1 : √3 : 2 (short leg : long leg : hypotenuse).

2. How Does the Calculator Work?

The calculator uses the standard 30-60-90 triangle ratios:

Where:

• Short leg (opposite 30°) = Hypotenuse / 2
• Long leg (opposite 60°) = (Hypotenuse / 2) × √3
• Hypotenuse (opposite 90°) = 2 × short leg

Explanation: Enter any one side length to calculate the other two sides based on these fixed ratios.

3. Importance of 30-60-90 Triangles

Applications: Commonly used in trigonometry, engineering, architecture, and construction projects involving triangular structures.

4. Using the Calculator

Tips: Enter the hypotenuse length in meters. The calculator will automatically compute the other two sides.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter a side other than the hypotenuse?
A: This version calculates from hypotenuse only. Future versions may allow input from any side.

Q2: Why are the sides in this exact ratio?
A: These ratios come from the trigonometric properties of 30° and 60° angles in right triangles.

Q3: How accurate are the calculations?
A: The calculations are mathematically precise, using √3 ≈ 1.73205080757.

Q4: Can this be used for other triangles?
A: No, this calculator is specifically for 30-60-90 triangles. Other triangles have different properties.

Q5: What units should I use?
A: The calculator works with any consistent unit (meters, feet, etc.), but displays "meters" as the default.