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 line in the triangle is the height, we need to check if it satisfies the conditions of a triangle's altitude.
Therefore, this line cannot be the height because it does not extend perpendicularly from the apex opposite the base to the base itself.
Thus, the correct answer is No.
No
Is the straight line in the figure the height of the triangle?
An altitude must satisfy two conditions: it starts from a vertex and is perpendicular to the opposite side (base). Just connecting vertex to base isn't enough!
Look for a 90° angle marker (small square) where the line meets the base. If there's no right angle marker, the line is likely not perpendicular.
Yes! Every triangle has exactly three altitudes - one from each vertex to its opposite side. They all meet at a point called the orthocenter.
Then it's definitely not an altitude! An altitude must always start from one of the three vertices of the triangle and extend to the opposite side.
Not always! In obtuse triangles, some altitudes fall outside the triangle. But they still must be perpendicular to the extended base line.
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