Triangle Side Analysis: Is DC a Side of Triangle ABD?

Question

True or false:

DC is a side of triangle ABD.

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Video Solution

Solution Steps

00:00 Determine whether DC is a side in the given triangle ABD
00:03 Identify the sides of triangle ABD
00:07 Mark the side with the two letters at the beginning/end of the line
00:11 These are the sides of triangle ABD
00:16 Therefore, we can observe that DC is not part of triangle ABD
00:19 This is the solution

Step-by-Step Solution

The problem asks if line segment DC is a side of triangle ABD.

In triangle geometry, the sides of a triangle are the segments connecting its vertices. Here, the triangle ABD is formed by vertices A, B, and D.

Upon observing the diagram:

  • The vertices of triangle ABD are A, B, and D.
  • The sides of triangle ABD are AB, BD, and AD.
  • The segment DC connects points D and C, which are not both vertices of triangle ABD.

Therefore, line segment DC is not a side of triangle ABD.

The statement "DC is a side of triangle ABD" is False.

Answer

False

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The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Exterior angles of a triangle Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation