Given the following triangle:
Write down the height of the triangle ABC.
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Given the following triangle:
Write down the height of the triangle ABC.
To solve this problem, we need to identify the height of triangle ABC from the diagram. The height of a triangle is defined as the perpendicular line segment from a vertex to the opposite side, or to the line containing the opposite side.
In the given diagram:
The perpendicularity of to is illustrated by the right angle symbol at point . This establishes as the height of the triangle ABC.
Considering the options provided, the line segment that represents the height of the triangle ABC is indeed .
Therefore, the correct choice is: .
AD
True or false:
DE not a side in any of the triangles.
Look for the right angle symbol (small square) where the line meets the base. In this diagram, has a right angle symbol at point , showing it's perpendicular to base .
Because and are the sides of the triangle, not heights. Heights must be perpendicular to the opposite side, while triangle sides are slanted.
Yes! Every triangle has three heights - one from each vertex to the opposite side. This problem asks specifically for the height from vertex .
In obtuse triangles, some heights can fall outside the triangle. But you still measure the perpendicular distance from the vertex to the extended base line.
No! The height is perpendicular to the base, not necessarily vertical. If the base is tilted, the height will be tilted too, but still forms a 90° angle with the base.
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