0
What else can I help you with?
In an isosceles triangle what are the altitude and media?
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
Does the angle bisector in a triangle bisect the opposite side?
Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.
When is a median and an altitude the same segment?
In an isosceles or equilateral triangle, when from the vertex that is different from the others.
How is an isosceles trapezoid related to an isoceles triangle?
If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get 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.
Can the altitude from the vertex angle of an isosceles triangle be the median?
If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.
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.
In an isosceles triangle what are the altitude and media?
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
Does the angle bisector in a triangle bisect the opposite side?
Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.
When is a median and an altitude the same segment?
In an isosceles or equilateral triangle, when from the vertex that is different from the others.
Is the altitude of a triangle is a segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex?
Yes but only if it's an equilateral or an isosceles triangle otherwise it's the vertical perpendicular height
How is an isosceles trapezoid related to an isoceles triangle?
If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.If the sloped sides of an isosceles trapezium are extended to a vertex, you would get an isosceles triangle.
In an isosceles triangle does the median to the base bisect the vertex angle?
In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that ∠A ≅ ∠C, because the base angles of an isosceles triangle are congruent; we also know that ≅ , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means ≅ . This proves that ΔABD ≅ ΔCBD. Since corresponding parts of congruent triangles are congruent, that means ∠ABD≅ ∠CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the 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 the angle of an isosceles triangle?
The two angles that are not the isosceles vertex are equal.
Does isosceles triangle have a vertex angle?
yes they do
A perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex?
Altitude: The altitude of a triangle is a perpendicular segment that connects a vertex and its opposite side. Let's construct the altitude of a triangle using a new triangle.
