Triangle ABC: Analyzing Point D's Position on Side AB

Triangle Identification with Point Relationships

AB is a side in triangle ADB

AAABBBCCCDDDEEE

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether AB is a side in the triangle ADB
00:04 Identify the triangle's letters
00:08 Each pair of letters forms a side in the triangle
00:17 Proceed to find all combinations in order to verify whether AB is a side in the given triangle
00:24 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

AB is a side in triangle ADB

AAABBBCCCDDDEEE

2

Step-by-step solution

The problem asks us to confirm if AB is a side of triangle ADB.

Triangle ADB is defined by its vertices, A, D, and B. A triangle is formed when three vertices are connected by three sides.

  • Identify vertices: The vertices of the triangle are A, D, and B.
  • Identify sides: The triangle's sides should be AB, BD, and DA.
  • Observe: From the provided diagram, AB connects vertices A and B.

Therefore, based on the definition of a triangle and observing the connection between components, side AB indeed is a part of triangle ADB.

This confirms that the statement is True.

3

Final Answer

True

Key Points to Remember

Essential concepts to master this topic
  • Triangle Rule: A triangle has exactly three vertices and three sides
  • Technique: Name sides by connecting vertex letters: A-D-B gives sides AB, BD, DA
  • Check: Verify all three vertices appear in the triangle name ADB ✓

Common Mistakes

Avoid these frequent errors
  • Confusing triangle names with side identification
    Don't assume triangle ABC automatically means AB is a side = wrong triangle! Triangle ADB has different vertices than ABC. Always identify the three vertices first, then determine which sides connect them.

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 do I know which sides belong to a triangle?

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A triangle's sides connect its three vertices. For triangle ADB, the vertices are A, D, and B, so the sides are AB, BD, and DA.

What's the difference between triangle ABC and triangle ADB?

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They're different triangles! Triangle ABC has vertices A, B, C with sides AB, BC, CA. Triangle ADB has vertices A, D, B with sides AB, BD, DA.

Can one side belong to multiple triangles?

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Yes! In this diagram, side AB belongs to both triangle ABC and triangle ADB because both triangles share vertices A and B.

How do I read triangle names correctly?

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Triangle names list the three vertices in order. Triangle ADB means the vertices are A, D, and B - the order helps you trace around the triangle.

What if I can't see all the sides clearly in the diagram?

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Focus on the vertices first! If you can identify points A, D, and B, then you know AB must be a side connecting vertices A and B, even if the line isn't perfectly clear.

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