1. In ∆LMN, …… is an altitude and …… is a median. (Write the names of appropriate segments.)
Question
- In ∆LMN, …… is an altitude and …… is a median. (Write the names of appropriate segments.)
Solution
In order to answer this question, we need more specific information about triangle LMN. An altitude and a median in a triangle are not the same and depend on the specific points they are drawn from.
However, in general:
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An altitude of a triangle is a line segment connecting a vertex to the line containing the opposite side and it is perpendicular to the opposite side. For example, if we draw a line from point L perpendicular to line MN, that line would be an altitude.
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A median of a triangle is a line segment connecting a vertex to the midpoint of the opposite side. For example, if we draw a line from point L to the midpoint of line MN, that line would be a median.
Without more specific information about triangle LMN, we cannot definitively name the segments.
Similar Questions
2. Draw an acute-angled ∆PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
6. Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence.
In ∆LMN, LX is the altitude (since it makes a 90° angle) and LY is a median (since it divides the base into two equal halves i.e., MY = NY).
The altitude of an isosceles triangle is the same segment in the triangle as the __________.A.bisectorB.hypotenuseC.legD.median
4. Draw an obtuse-angled ∆LMN. Draw its altitudes and denote the orthocenter by ‘O’.
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