Triangle Construction: Identifying Median and Altitude Locations

The triangle ABC is shown below.

To which side are the median and the altitude drawn?

AAABBBCCCDDDEEE

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Step-by-step video solution

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00:00 Determine which side the median and the height are drawn to in the following triangle
00:03 CE bisects AB according to the given information
00:12 AD is perpendicular to DB (forms a right angle with it)
00:17 It would seem that the perpendicular and the median are drawn to different sides
00:20 This is the solution to the question

Step-by-step written solution

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1

Understand the problem

The triangle ABC is shown below.

To which side are the median and the altitude drawn?

AAABBBCCCDDDEEE

2

Step-by-step solution

In the problem of determining which side of triangle ABC has a median and an altitude drawn, we begin by understanding the role of these geometric features:

Medians: A median originates from one vertex and connects to the midpoint of the opposing side. Therefore, it must appear as a line bisecting opposite side.

Altitudes: An altitude also starts from a vertex but descends perpendicularly to the opposite side, forming a right angle.

In exploring the labels and positional intersection lines on the provided diagram, if available, we do not find a clear depiction through the labels and positions alone, which allows us to exactly pinpoint a side being bisected or with a right angle from a vertex. The problem declaratively assures no qualification dominantly demonstrating altitude (notably not perpendicular) or median (not clearly bisecting any side).

Thus, the correct choice and conclusion is that neither is correctly shown in respecting any side of the triangle ABC.

Therefore, no side of triangle ABC has a defined median and altitude drawn distinctly according to known geometric properties and referential diagram analysis.

No side

3

Final Answer

No side

Practice Quiz

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Fill in the blanks:

In an isosceles triangle, the angle between two ___ is called the "___ angle".

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