Triangle ABC: Verify if AB is a Side of the Triangle

Triangle Naming with Side Identification

True or false:

AB is a side of the triangle ABC.

AAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is AB a side in the triangle?
00:03 Let's find points A and B
00:09 The line passing between the points is segment AB
00:13 Thus every side in the triangle
00:17 From this we can see that AB is a side in the triangle
00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

True or false:

AB is a side of the triangle ABC.

AAABBBCCC

2

Step-by-step solution

To solve this problem, let's clarify the role of AB in the context of triangle ABC by analyzing its diagram:

  • Step 1: Identify the vertices of the triangle. According to the diagram, the vertices of the triangle are points labeled A, B, and C.
  • Step 2: Determine the sides of the triangle. In any triangle, the sides are the segments connecting pairs of distinct vertices.
  • Step 3: Identify AB as a line segment connecting vertex A and vertex B, labeled directly in the diagram.

Considering these steps, line segment AB connects vertex A with vertex B, and hence, forms one of the sides of the triangle ABC. Therefore, AB is indeed a side of triangle ABC as shown in the diagram.

The conclusion here is solidly supported by our observation of the given triangle. Thus, the statement that AB is a side of the triangle ABC is True.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Rule: Triangle sides connect any two vertices of the triangle
  • Technique: Match segment AB to vertices A and B in diagram
  • Check: Verify AB connects two labeled vertices in triangle ABC ✓

Common Mistakes

Avoid these frequent errors
  • Confusing sides with angles or vertices
    Don't think AB refers to an angle or single point = wrong identification! AB is a line segment, not angle BAC or vertex A. Always remember that sides are the line segments connecting pairs of vertices.

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 do I know what the sides of a triangle are called?

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Triangle sides are named using two letters that represent the vertices they connect. For triangle ABC, the three sides are AB, BC, and AC.

Is there a difference between AB and BA?

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No! AB and BA refer to the same side because a line segment connects the same two points regardless of which letter you write first.

What if the diagram shows more lines than just the triangle sides?

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Focus only on the sides of the triangle. These are the three line segments that form the triangle's boundary, connecting each pair of vertices.

How can I be sure AB is actually a side and not just any line segment?

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Check that both A and B are vertices of triangle ABC, and that the line segment AB forms part of the triangle's boundary. In this case, both conditions are met!

Are there always exactly three sides in any triangle?

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Yes! By definition, a triangle has exactly three sides, three vertices, and three angles. Triangle ABC has sides AB, BC, and AC.

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