Triangle BDC Analysis: Is DE a Valid Side Segment?

Question

Is DE a side in the triangle BDC?

AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Determine whether DE is a side in the triangle BDC
00:04 Examine the letters of the triangle
00:15 Highlight all the sides of the triangle letter by letter
00:25 We can observe that DE is not part of our triangle
00:32 This is the solution

Step-by-Step Solution

To solve this problem, we must analyze the provided geometric diagram carefully. The goal is to determine if line segment DE is a side of triangle BDC.

Let's examine the elements in the diagram:

  • Triangle BDC is outlined with vertices B, D, and C.
  • There is a line connecting points D and E, which does not coincide with the triangle's perimeter as sides are supposed to.
  • A clear check shows us that sides BDC are formed by line segments BD, DC, and CB in the triangle.
  • The line DE appears as an extension inside or outside of the triangle, making a clear indication that it is not part of the triangle itself.

Given the definition of a triangle's sides enclosed by its three vertices and the connectivity presented, it is apparent that DE is not recognized as one of the edges or sides that enclose triangle BDC.

Hence, the conclusion is: The statement "DE is a side in the triangle BDC" is Not true.

Answer

Not true

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