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?
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, B, and C. The vertices of the second triangle are labeled D, E, and F.
Identify the sides of the first triangle: Since the vertices are A, B, and C, the sides of the triangle are AB, BC, and CA.
Identify the sides of the second triangle: With vertices D, E, and F, the sides are DE, EF, and FD.
Now, we ascertain whether BC is a side. Upon inspection, BC is clearly the side connecting vertex B and vertex C in the first triangle.
Thus, we conclude that Yes, BC is indeed a side of one of the triangles.