Triangle ABC: Identifying the Side BC in a Given Geometric Figure

Question

True or false:

BC is a side of triangle ABC.

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Video Solution

Solution Steps

00:00 Determine whether BC is a side in the given triangle
00:03 The line connecting the 2 points together is the side
00:06 Given that this line connects A and B together, we shall call it AB
00:09 The same applies to points A,C and B,C
00:12 From this we can observe that BC is a side in the triangle
00:15 This is the solution

Step-by-Step Solution

To solve this problem, we must determine whether BC is indeed a side of triangle ABC. A triangle consists of three vertices connected by three line segments that form its sides.

Firstly, observe the triangle labeled in the diagram with vertices A, B, and C. For triangle ABC, the sides are composed of the segments that connect these points.

  • The three line segments connecting the vertices are:
    • AB AB , connecting points A and B;
    • BC BC , connecting points B and C; and
    • CA CA , connecting points C and A.

Among these, BC is clearly listed as one of the segments connecting two vertices of the triangle. Therefore, BC is indeed a side of triangle ABC.

Hence, the statement is True.

Answer

True