Triangle Side Identification: Is BC a Side in the Given Triangles?

Question

Look at the two triangles below.

Is BC a side of one of the triangles?

AAABBBCCCDDDEEEFFF

Step-by-Step Solution

Let's solve the problem step-by-step.

  • We first consider the two triangles given in the diagram. The vertices of the first triangle are labeled A A , B B , and C C . The vertices of the second triangle are labeled D D , E E , and F F .
  • Identify the sides of the first triangle: Since the vertices are A A , B B , and C C , the sides of the triangle are AB AB , BC BC , and CA CA .
  • Identify the sides of the second triangle: With vertices D D , E E , and F F , the sides are DE DE , EF EF , and FD FD .
  • Now, we ascertain whether BC BC is a side. Upon inspection, BC BC is clearly the side connecting vertex B B and vertex C C in the first triangle.

Thus, we conclude that Yes, BC BC is indeed a side of one of the triangles.

The solution to the problem is: Yes

Answer

Yes