Classify a Triangle with Three 6-Unit Sides: Equilateral Triangle Analysis

Triangle Classification with Equal Side Lengths

Which kind of triangle is given in the drawing?

666666666AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Identify which triangle is shown in the drawing
00:03 Side lengths according to the given data
00:08 A triangle where all sides are equal is an equilateral triangle
00:11 In an equilateral triangle all angles are equal to 60
00:15 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which kind of triangle is given in the drawing?

666666666AAABBBCCC

2

Step-by-step solution

As we know that sides AB, BC, and CA are all equal to 6,

All are equal to each other and, therefore, the triangle is equilateral.

3

Final Answer

Equilateral triangle

Key Points to Remember

Essential concepts to master this topic
  • Definition: Equilateral triangles have all three sides equal in length
  • Identification: Check if all sides measure the same: 6 = 6 = 6
  • Verification: Count equal sides - three equal sides means equilateral triangle ✓

Common Mistakes

Avoid these frequent errors
  • Confusing equilateral with isosceles triangles
    Don't call a triangle isosceles when all sides are equal = wrong classification! Isosceles means only TWO sides are equal, not all three. Always check if ALL sides are equal before choosing equilateral.

Practice Quiz

Test your knowledge with interactive questions

In a right triangle, the side opposite the right angle is called....?

FAQ

Everything you need to know about this question

What's the difference between equilateral and isosceles triangles?

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Equilateral means all 3 sides are equal, while isosceles means only 2 sides are equal. Think of it as: equilateral = equal all, isosceles = equal two.

How can I quickly identify an equilateral triangle?

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Look for three identical measurements on all sides! If you see the same number (like 6, 6, 6), it's equilateral. No measuring needed - just compare the given values.

Do equilateral triangles have equal angles too?

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Yes! Equilateral triangles always have three 60° angles. Equal sides means equal angles - that's a special property of equilateral triangles.

What if two sides are 6 and one side is different?

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Then it would be an isosceles triangle, not equilateral. Remember: all three sides must be equal for equilateral classification.

Can a triangle be both equilateral and isosceles?

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Technically yes, but we classify it as equilateral because that's more specific. Every equilateral triangle is also isosceles, but not every isosceles triangle is equilateral.

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