Triangle Side Verification: Is DC a Side of Triangle BDC?

True or false:

DC is a side of the triangle BDC.

AAABBBCCCDDD

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Step-by-step video solution

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00:00 Determine whether DC 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
00:15 Therefore, we can determine that DC is part of triangle BDC
00:18 This is the solution

Step-by-step written solution

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1

Understand the problem

True or false:

DC is a side of the triangle BDC.

AAABBBCCCDDD

2

Step-by-step solution

Let's determine if DC is a side of triangle BDC:

First, we need to identify the triangle BDC:

  • Vertices of triangle BDC are: B,D, B, D, and C C .
  • Sides of triangle BDC are the line segments that connect these points. Namely, these sides are BD,DC, BD, DC, and BC BC .

Since DC DC is one of the line segments connecting the vertices of triangle BDC, it indeed constitutes one of its sides.

Therefore, we conclude that the statement is true: DC is a side of the triangle BDC.

3

Final Answer

True

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Is the straight line in the figure the height of the triangle?

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