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What else can I help you with?
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?
The two angle bisectors of a triangle are congruent the those two angles are congruent. The angles are bisected the same meaning that the whole and half angle are the same. For example if they are bisected at the whole angle 50 each, then each half is 25. The bisectors really don't mean anything and all you need is 50 to know it's isosceles. 50 and 50 is 100 and the left over for the last angle is 80 adding to 180. AND overall any 2 congruent angles in a triangle have the same congruent legs making it isosceles.
Can equiangular triangles be acute?
No because when their angle measure are equal then they can be acute which only mean that the angle degrees would be 90 and so that isn't acute but only a right angle
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?
Well, honey, the orthocenter of a right triangle is where all three altitudes intersect. In the case of a right triangle, the orthocenter coincides with one of the vertices, specifically the right angle vertex. So, grab your ruler and draw those altitudes to find that sassy orthocenter right at the corner of the right angle.
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.
