Triangle Classification: Determine the Type of Triangle ABC

Triangle Classification with Visual Analysis

Look at the triangle below.

What type of triangle is it?

AAABBBCCC

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Step-by-step written solution

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1

Understand the problem

Look at the triangle below.

What type of triangle is it?

AAABBBCCC

2

Step-by-step solution

To classify the triangle, we must examine its properties based on its sides.

  • An equilateral triangle has all three sides of equal length.
  • An isosceles triangle has two sides of equal length.
  • A scalene triangle, informally called a generic triangle, has all sides of different lengths.

Without specific information about the side lengths from the given diagram or description, we assume no notable equalities among the sides.

Given that no equal sides are indicated, and the triangle would not spontaneously denote isosceles or equilateral criteria without specific symbology or markings, the most applicable classification is as a scalene triangle — termed a "generic triangle" in the given options.

Therefore, the type of triangle is a generic triangle.

3

Final Answer

Generic triangle

Key Points to Remember

Essential concepts to master this topic
  • Definition: Scalene triangles have all three sides of different lengths
  • Recognition: No special markings or symbols indicate equal sides
  • Verification: Check diagram for tick marks or labels showing equality ✓

Common Mistakes

Avoid these frequent errors
  • Assuming triangles are isosceles or equilateral without proof
    Don't assume equal sides just because a triangle looks symmetric = wrong classification! Visual appearance can be deceiving without measurements or special markings. Always look for specific indicators like tick marks, angle symbols, or given measurements.

Practice Quiz

Test your knowledge with interactive questions

Is the straight line in the figure the height of the triangle?

FAQ

Everything you need to know about this question

How can I tell if sides are equal just by looking?

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You cannot determine equal sides from appearance alone! Look for tick marks (small lines) on sides that are equal, or specific measurements given in the problem.

What's the difference between scalene and generic triangle?

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Scalene and generic triangle mean the same thing - a triangle where all three sides have different lengths. Different textbooks use different terms!

Why isn't this triangle isosceles if it looks balanced?

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Visual balance doesn't mean equal sides! An isosceles triangle needs exactly two sides of equal length, which must be marked or measured to confirm.

What if no measurements are given at all?

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When no special markings or measurements appear, assume it's a scalene (generic) triangle. This is the most general case when no special properties are indicated.

Are there other ways to classify triangles?

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Yes! Triangles can be classified by angles too:

  • Acute (all angles < 90°)
  • Right (one 90° angle)
  • Obtuse (one angle > 90°)
But this question focuses on side length classification.

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