Triangle ABC: Analyzing Side DB and Point Relationships

Triangle Sides with Internal Point Analysis

DB is a side in triangle ABC

AAABBBCCCDDDEEE

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

DB is a side in triangle ABC

AAABBBCCCDDDEEE

2

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 .

3

Final Answer

Not true

Key Points to Remember

Essential concepts to master this topic
  • Definition: Triangle sides connect exactly two vertices of the triangle
  • Analysis: Point D lies inside triangle ABC, making DB an internal segment
  • Check: Verify sides are AB, BC, and AC - not segments to interior points ✓

Common Mistakes

Avoid these frequent errors
  • Assuming any line segment in a triangle diagram is a side
    Don't call every line segment a triangle side = wrong classification! Internal segments like medians, altitudes, or angle bisectors connect vertices to interior points, not vertex to vertex. Always identify triangle sides as the three segments that form the triangle's boundary: connecting vertex pairs only.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

How can I tell if a segment is actually a triangle side?

+

A triangle side must connect two vertices of the triangle directly. Look for segments that form the triangle's outer boundary - these are always the three sides.

What is segment DB if it's not a side?

+

Since D appears to be inside triangle ABC, segment DB DB is likely a median, altitude, or angle bisector - these are special segments but not sides.

Why does the position of point D matter?

+

Point position is crucial! If D is inside the triangle, DB cannot be a side. Triangle sides only connect the three corner vertices A, B, and C.

What are the actual sides of triangle ABC?

+

The three sides are:

  • AB AB - connects vertices A and B
  • BC BC - connects vertices B and C
  • AC AC - connects vertices A and C

Can a triangle have more than three sides?

+

No! By definition, a triangle always has exactly three sides and three vertices. Any additional segments inside are special lines, not sides.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Triangle questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations