1. What is Triangle Classification?

Triangle classification involves categorizing triangles based on their side lengths and angle measures. By sides, triangles can be equilateral (all sides equal), isosceles (two sides equal), or scalene (no sides equal). By angles, they can be acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

2. How Does the Calculator Work?

The calculator uses these classification rules:

Where:

• a, b, c — Triangle side lengths (must satisfy triangle inequality)
• a ≤ b ≤ c — Sides sorted in ascending order for angle classification

3. Importance of Triangle Classification

Details: Understanding triangle types is fundamental in geometry, with applications in construction, engineering, and computer graphics. Different triangle types have unique properties that affect calculations and design.

4. Using the Calculator

Tips: Enter all three side lengths in any order. Values must be positive numbers that satisfy the triangle inequality (sum of any two sides > third side).

5. Frequently Asked Questions (FAQ)

Q1: Can a triangle be both isosceles and right?
A: Yes, a right triangle with two equal sides (isosceles right triangle) has angles 45°-45°-90°.

Q2: What's the most common triangle type?
A: Scalene triangles are most common in nature, followed by isosceles. Equilateral triangles are rare outside of human-made objects.

Q3: Why must sides satisfy the triangle inequality?
A: This ensures the sides can physically form a triangle (sum of any two sides must exceed the third).

Q4: Can an equilateral triangle be obtuse?
A: No, all angles in an equilateral triangle are exactly 60° (acute).

Q5: How precise do measurements need to be?
A: For practical purposes, measurements should be precise enough that rounding errors don't affect classification.