Triangle Height Verification: Is AD the Altitude of Triangle ABD?

Determine whether the statement is true or false:

AD is the height of the triangle ADB.

AAABBBCCCDDD

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Step-by-step written solution

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1

Understand the problem

Determine whether the statement is true or false:

AD is the height of the triangle ADB.

AAABBBCCCDDD

2

Step-by-step solution

To determine whether AD is the height of triangle ADB, we must inspect whether segment AD is perpendicular to the base BD. By definition, the height of a triangle from a vertex is a line segment perpendicular to the line containing the opposite side. The diagram describes that AD is a vertical line, indicating a perpendicular relationship to the horizontal line BC. Thus, within triangle ADB, AD perfectly aligns as the height from vertex A to the base BD.

Therefore, the statement is True.

3

Final Answer

True,

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

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