Identify Segment DE: Analyzing Triangle Side Relationships

Question

Look at the two triangles below. Is DE a side of one of the triangles?

AAABBBCCCDDDEEEFFF

Step-by-Step Solution

To solve whether the segment DE DE is a side of one of the triangles, we must identify the sides of each triangle in the given diagram.

The first triangle is labeled ABC \triangle ABC :

  • Vertices are A,B, A, B, and C C .
  • Sides by this configuration are AB,BC, AB, BC, and AC AC .

The second triangle is labeled DEF \triangle DEF :

  • Vertices are D,E, D, E, and F F .
  • Sides formed are DE,EF, DE, EF, and DF DF .

Upon inspection, we see that DE DE is listed as a side of DEF \triangle DEF , confirming that it indeed is one side of this triangle.

Therefore, the conclusion is:

Yes, DE DE is a side of one of the triangles.

Answer

Yes