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Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
A median of a triangle is a line or segment that passes through a vertex and the side opposite that vertex?
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
Can altitude and median be same in acute angled triangle?
Yes, in an acute-angled triangle, the altitude and median can be the same for a specific vertex. This occurs when the triangle is isosceles, where the altitude from the vertex opposite the base not only serves as the height but also bisects the base, acting as the median. However, this is not generally true for all acute-angled triangles.
What is a perpendicular line or segment that bisects one side of a triangle called?
A perpendicular line or segment that bisects one side of a triangle is called the median of the triangle. Specifically, it is the line segment that connects a vertex of the triangle to the midpoint of the opposite side, creating two equal segments. This segment is not only perpendicular but also plays a crucial role in various triangle properties and constructions.
How does the triangle above show that medians bisect the sides of a triangle?
A median of a triangle is a line segment that connects a vertex to the midpoint of the opposite side. In the triangle, the medians divide the triangle into two smaller triangles of equal area, demonstrating that each median intersects the side at its midpoint. This property shows that the median effectively bisects the side, as it divides it into two equal segments. Thus, by the definition and properties of medians, we can conclude that they bisect the sides of the triangle.
Is median of a triangle bisect it's angle?
The median of a triangle bisects its side
Do the medians of a triangle bisect the internal angles?
Not always. 1. The median to the base of an isosceles triangle bisects the vertex angle. 2. When the triangle is an equilateral triangle, then the medians bisect the interior angles of the triangle.
A median of a triangle is a line or segment that passes through a vertex and bisects the side the vertex?
A median of a triangle is a line or segment that passes through a vertex and bisects the side of the triangle opposite the vertex.
A median of a triangle is a line or segment that passes through a vertex and bisects the opposite that vertex?
side
Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
What is the angle between triangle median and the edge it bisects?
It can be any angle between 0 and 180 degrees.
A median of a triangle is a line or segment that passes through a vertex and the side opposite that vertex?
A median of a triangle is a line or segment that passes through a vertex and the midpoint of the side opposite that vertex. The median only bisects the vertex angle from which it is drawn when it is an isosceles triangle.
Can altitude and median be same in acute angled triangle?
Yes, in an acute-angled triangle, the altitude and median can be the same for a specific vertex. This occurs when the triangle is isosceles, where the altitude from the vertex opposite the base not only serves as the height but also bisects the base, acting as the median. However, this is not generally true for all acute-angled triangles.
The median of a trapezoid bisects the bases of the trapezoid?
The altitude of a trapezoid bisects the bases of the trapezoid.
What is a perpendicular line or segment that bisects one side of a triangle called?
A perpendicular line or segment that bisects one side of a triangle is called the median of the triangle. Specifically, it is the line segment that connects a vertex of the triangle to the midpoint of the opposite side, creating two equal segments. This segment is not only perpendicular but also plays a crucial role in various triangle properties and constructions.
What is one difference between an altitude and a median of a triangle?
An altitude is a perpendicular drawn from a point to the opposite segment while a median is a segment drawn from a point to the opposite side such that it bisects the side.Altitudes and their concurrenceMedians and their concurrence
How does the triangle above show that medians bisect the sides of a triangle?
A median of a triangle is a line segment that connects a vertex to the midpoint of the opposite side. In the triangle, the medians divide the triangle into two smaller triangles of equal area, demonstrating that each median intersects the side at its midpoint. This property shows that the median effectively bisects the side, as it divides it into two equal segments. Thus, by the definition and properties of medians, we can conclude that they bisect the sides of the triangle.
