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The orthocenter is the point shared by the angle bisector of a triangle?
Wiki User
∙ 12y ago
No.
Wiki User
∙ 12y ago
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
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The intersection of the angle bisectors of a triangle?
The intersection of the angle bisectors of a triangle is called the incenter. It is equidistant from the sides of the triangle and can be constructed by drawing the angle bisectors of the triangle's angles. The incenter is the center of the incircle, which is the circle inscribed within the triangle.
If two angle bisectors of a triangle are congruent then prove that triangle is isosceles?
If two angle bisectors of a triangle are congruent, then the triangle is isosceles. This is because the angle bisectors of a triangle are concurrent and the angle bisectors of a triangle that are congruent divide the opposite sides of the triangle into two equal segments. So if two angle bisectors are congruent, the sides opposite those angles are also equal, making the triangle isosceles.
Can equiangular triangles be acute?
Yes, equiangular triangles can be acute. An equiangular triangle is a triangle in which all three angles are equal. If all the angles are less than 90 degrees, the triangle is considered acute.
The angle bisectors of a triangle share a common point of what?
The three bisectors meet at a point which is the centre of the circle. is you draw the circle that has that point as centre and 1 of the corners as a point on the circle, all corners will be on the circle
Circles circumscribed about a given triangle will all have centers equal to the incenter but can have different radii?
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
Is the orthocenter the point shared by the angle bisector of a triangle?
Objection! False! Nooo! :P ~
Is the orthocenter the point shared by the angle bisectors of a triangle?
Sometimes. If the triangle is an equilateral triangle, then yes. If the triangle has two sides of equal length, then the bisector passing through the point connecting the two sides of equal length will share the orthocenter. If all three sides have different lengths, then none of the bisectors of a triangle will share (pass through) the orthcenter.The definition of the orthocenter is:The point where the three altitudes of a triangle intersect. (An altitude is the linefrom a vertex drawn perpendicular to the opposite side.) So an angle bisectordoesn't pass through the orthocenter unless the angle bisector happens tocoincide with the altitude, and that only happens when the triangle is eitherisosceles or equilateral.
Why is the angle bisector of an isosceles triangle also Euler's line?
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
The point of concurrency of the medians of a triangle?
the centroid. here are all the points of concurrency: perpendicular bisector- circumcenter altitudes- orthocenter angle bisector- incenter median- centroid hope that was helpful :)
Can the angle bisector of a triangle also be the perpendicular bisector?
Yes. The bisector of one angle of a triangle is the perpendicular bisector of theopposite side if the bisected angle is the vertex angle of an isosceles triangle,or any angle of an equilateral triangle.
Do the altidudes of a triangle always meet in the interior of the triangle?
In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.
Where is the orthocenter of a right triangle?
At the vertex of the right angle.
What do you call the intersection of a triangle angle bisector?
triangles angle bisector is called incenter..
How is constructing a perpendicular bisector different to constructing an angle bisector?
A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an angle of a triangle in two.
Where is the orthocenter of a right triangle located?
When the triangle is right, the orthocenter is the polygon vertex of the right angle. Intuitively this makes sense because the orthocenter is where the altitudes intersect. Hence, in a right triangle, the vertex of the right angle is where you would expect the altitudes to meet, at 90 degrees, where the legs of the right triangle are perpendicular.
A(n) of a triangle splits an angle of the triangle into two congruent parts?
angle bisector
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
