Triangle Side Analysis: Is AC a Side of Triangle BDC?

Question

True or false:

AC is a side of triangle BDC.

AAABBBCCCDDD

Video Solution

Solution Steps

00:00 Determine whether AC is a side in the given triangle BDC
00:03 Identify the sides of triangle BDC
00:07 Mark the side with the two letters at the beginning/end of the line
00:11 These are the sides of triangle BDC
00:14 Therefore, we can observe that AC is not part of triangle BDC
00:17 This is the solution

Step-by-Step Solution

To determine whether AC is a side of triangle BDC, let us take the following steps:

  • Identify the vertices of triangle BDC, which are points B, D, and C.
  • Consider the sides of triangle BDC which are BD, DC, and BC, as each side is formed by connecting two vertices of the triangle.

Analysis:

Triangle BDC has exactly three sides, formed by the segments connecting vertices B, D, and C, which are:

  • BD (connecting vertices B and D)
  • DC (connecting vertices D and C)
  • BC (connecting vertices B and C)

Since segment AC does not connect any two vertices of triangle BDC, it cannot be a side of this triangle.

Thus, the statement "AC is a side of triangle BDC" is False.

Therefore, the solution to the problem is False.

Answer

False