Triangle Side Identification: Is CB a Valid Side in Given Triangles?

Question

Look at the two triangles below.

Is CB a side of one of the triangles?

AAABBBCCCDDDEEEFFF

Step-by-Step Solution

In order to determine if segment CB is a side of one of the triangles, let's start by identifying the triangles and their corresponding vertices from the given diagram:

  • Triangle 1 has vertices labeled as A, B, C.
  • Triangle 2 has vertices labeled as D, E, F.

Now, to decide if CB is a side, we need to check if a line segment exists between points C and B in any of these triangles.

Upon examining the points:

  • Point C is present in triangle 1.
  • Point B is also present in triangle 1.
  • The line segment connecting B and C is visible, forming the base of triangle 1.

Therefore, segment CB is indeed a side of triangle ABC, confirming that the answer is Yes.

Thus, the solution to the problem is Yes \text{Yes} .

Answer

Yes.