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

Question

True or false:

AB is a side of the triangle ABC.

AAABBBCCC

Video Solution

Solution Steps

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 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.

Answer

True