Triangle ABC: Analyzing Side DB and Point Relationships

Question

DB is a side in triangle ABC

AAABBBCCCDDDEEE

Video Solution

Solution Steps

00:00 Determine whether DB is a side in the triangle ABC
00:05 Each pair of letters in the triangle represents a side (there are a total of 3 sides)
00:15 Mark all the sides of the triangle
00:30 Write down all of the sides in the triangle
01:04 We can conclude that DB is not a part of the triangle ABC
01:08 This is the solution

Step-by-Step Solution

Let us determine whether DB DB is a side of triangle ABC ABC . This verification depends greatly on understanding the arrangement and positioning of the points given within the triangle.

From the diagram, points A A , B B , and C C form a triangle because they create a closed figure with three lines connecting one another, typical of triangle sides. On examining point D D and the line DB DB , we notice that D D seems to be an internal point, potentially serving roles like that of a median or an angle bisector, but not forming an external side of triangle ABC ABC .

Based on this understanding, line DB DB fails to fulfil the requirement of connecting two of the vertices of the triangle directly. Hence, it's internal and is not counted as an external side of triangle ABC ABC .

The conclusion based on the given options from the prompt: DB DB is not a side of triangle ABC ABC .

Answer

Not true