Is the straight line in the figure the height of the triangle?
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Is the straight line in the figure the height of the triangle?
To determine if the given straight line is the height of the triangle, we need to check whether it is perpendicular to the side it intersects (or its extension), which is the definition of a height (altitude) in a triangle.
Looking at the figure, the straight line is drawn from a vertex of the triangle to a point on the opposite side, but it is not perpendicular to that side or its extension. Therefore, the line does not meet the criteria for being a height of the triangle.
In conclusion, the line is not the height of the triangle because it is not perpendicular to the opposite side.
Therefore, the correct answer to the problem is No.
No
Is the straight line in the figure the height of the triangle?
A triangle's height (or altitude) is a line segment from any vertex that is perpendicular to the opposite side (or its extension). The key word is perpendicular - it must form a 90° angle!
Look for these clues: a small square symbol at the intersection point, a right angle marking, or lines that clearly form 90° angles. If you don't see these indicators, the line likely isn't perpendicular.
Yes! Every triangle has exactly three heights - one from each vertex to the opposite side. Each height is perpendicular to its corresponding base.
That's normal for obtuse triangles! The height extends to the extension of the opposite side, not the side itself. It's still perpendicular and still counts as a valid height.
No! The height goes to wherever it can be perpendicular to the opposite side. This might be at the middle, near an end, or even on an extension of the side.
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