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 straight line in the figure is the height of the triangle, we need to ensure it is a line that starts from a vertex of the triangle and is perpendicular to the opposite side, known as the base. In the context of geometry, this line is called an altitude.
According to the given figure, the straight line appears to stem from one vertex of the triangle and intersect the base at a right angle, as indicated by a small square or a perpendicular marker at their intersection.
Since the line in question meets the definition of an altitude (perpendicular from a vertex to the opposite side), it indeed represents the height of the triangle relative to that specific base.
Hence, the answer to the problem is Yes.
Yes
Is the straight line in the figure the height of the triangle?
Look for the small square symbol at the intersection point! This symbol indicates a 90° angle, which means the line is perfectly perpendicular to the base.
Yes! Every triangle has three different heights - one from each vertex to its opposite side. Each height corresponds to using a different side as the base.
They're the same thing! Height and altitude both refer to the perpendicular distance from a vertex to the opposite side. Both terms are used interchangeably in geometry.
Not always! In acute triangles, all heights fall inside. In obtuse triangles, two heights fall outside the triangle and must extend beyond the base to form the right angle.
The height is crucial for calculating the triangle's area using the formula: . Using the wrong line gives incorrect area calculations!
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