Triangle Side AB: Identifying Line Segments Between Two Similar Triangles

Question

Look at the two triangles below.

Is AB a side of one of the triangles?

AAABBBCCCDDDEEEFFF

Step-by-Step Solution

To solve this problem, we will inspect the two triangles in the diagram to determine if AB AB can be identified as one of their sides.

1. We begin by examining the triangle on the left side, which is formed by points A A , B B , and C C .
- Point A A is located at the top of the triangle, while point B B is at the bottom left.
- The diagram clearly shows a direct line connecting point A A to point B B , therefore forming a side of this triangle.

2. There is another triangle on the right side of the diagram formed by points D D , E E , and F F . However, since points A A and B B are not involved in this triangle, they cannot form a side of it.

Hence, it is evident that AB AB is indeed a side of the left triangle, comprising points A A , B B , and C C .

Therefore, the answer to the problem is Yes.

Answer

Yes