1. What is Triangle Ratio?

The triangle ratio compares the lengths of two sides of a triangle. It's a dimensionless value that helps in understanding the proportions and relationships between different parts of a triangle.

2. How Does the Calculator Work?

The calculator uses the simple ratio formula:

Where:

• \( \text{side1} \) — Length of first side
• \( \text{side2} \) — Length of second side

Explanation: The ratio shows how many times one side is larger than the other, maintaining the proportion between them.

3. Importance of Triangle Ratios

Details: Triangle ratios are fundamental in geometry, used in similarity proofs, trigonometric calculations, and real-world applications like architecture and engineering.

4. Using the Calculator

Tips: Enter lengths of any two sides in the same units. Both values must be positive numbers. The result is a dimensionless ratio.

5. Frequently Asked Questions (FAQ)

Q1: Can I use different units for the sides?
A: No, both sides must be in the same units for the ratio to be meaningful.

Q2: What does a ratio of 1 mean?
A: A ratio of 1 means both sides are equal in length (isosceles triangle).

Q3: How is this different from trigonometric ratios?
A: This is a simple length ratio, while trigonometric ratios (sine, cosine) relate side lengths to angles.

Q4: Can I use this for any type of triangle?
A: Yes, this ratio calculation works for all triangle types (scalene, isosceles, equilateral).

Q5: Why are triangle ratios important in real life?
A: They're used in construction, art, design, and anywhere proportional relationships matter.