0
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!!!!!!!!
Add your answer:
Earn +20 pts
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.
True or false A median of a triangle may fall outside the triangle?
false (apex)
Which may fall outside a triangle?
A point outside the triangle may.
May an altitude of a triangle may fall outside the triangle?
yes
What may fall outside a triangle?
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
An altitude of a triangle may not fall outside the triangle true or false?
False
Which of the following may fall outside a triangle?
orthocenter and circumcenter
The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle?
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
Can a median divide a triangle in equal area?
Sure. That's true of a median in every isosceles triangle, and every median in an equilateral triangle. In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.
Is the median the center of balance of triangle?
Yes and no. Each median divides the triangle into two such that for any point on the median, the mass on one side is balanced by the mass on the other. But the mass ahead of that point may or may not balance the mass behind. It is the point of intersection of the medians - the centroid - which is the centre of mass or centre of balance of the triangle.
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?
Not normally
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.
