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A median of a triangle is a line segment joining the vertex to the midpoint of the opposite side. The medians ( each triangle has 3) always intersect at a point call the centroid and the centroid is always INSIDE the triangle.
APEX: The incenter of a triangle ________ falls outside of its triangle. = never
A median of a triangle may fall outside the triangle? false apex!!!!!!!!
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May an altitude of a triangle may fall outside the triangle?
yes
The orthocenter of a triangle may lie outside the triangle since the may not intersect any side of the triangle?
True for an obtuse triangle!
The orthocenter of a triangle may lie outside the triangle since?
The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.
What are disadvantages of median?
One disadvantage of using the median is that it may not accurately represent the entire dataset if there are extreme outliers present, as the median is not influenced by the magnitude of these outliers. Additionally, the median may not be as intuitive to interpret as the mean for some individuals, as it does not provide a direct measure of the total value of the dataset. Finally, calculating the median can be more computationally intensive compared to other measures of central tendency, especially with large datasets.
Can a right angled triangle sometimes be a equilateral triangle?
No, since an equilateral triangle has three congruent angles of 60 degrees, and a right triangle must have an angle of 90 degrees. However, a right triangle may be an isosceles triangle.
