0
What kind of triangle has three angle bisectors that are also altitudes and medians?
Wiki User
∙ 10y ago
Equilateral
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
What is a way to remember the points of concurrency Orthocenter Circumcenter Incenter and Centroid?
All Of : Altitudes - OrthocenterMy Children: Medians - CentroidAre Bringing In: Angle Bisectors - IncenterPeanut Butter Cookies: Perpendicular Bisectors - Circumcenter
What are the properties of an equilateral triangle?
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
What type of triangle has 3 angle bisectors that are also perpendicular bisectors?
equilateral triangle
What is the name of the point at which all of a triangle's angle bisectors converge?
The name of the point at which all of a triangle's angle bisectors converge is the incenter.
At what point are the angle bisectors of a triangle concurrent?
Angle bisectors intersect at the incenter which is equidistant from the sides
How many medians altitudes angle bisectors and perpendicular bisectors does a triangle have?
medians-3 altitudes-3
What are the three lines of symmetry on an equilateral triangle?
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
What are the lines of symmetry on a regular polygon triangle?
A regular polygon triangle is an equilateral triangle. It has three lines of symmetry: a line passing through each vertex and the mid-point of the opposite side. These are the three medians or altitudes or perpendicular bisectors or angle bisectors of the triangle - they are all the same lines.
What do you call to a line of symmetry of an isosceles triangle?
There is no specific name. It is one of the medians, angle bisectors and perpendicular bisectors: one set of these is coincident and is the line of symmetry.
What is a way to remember the points of concurrency Orthocenter Circumcenter Incenter and Centroid?
All Of : Altitudes - OrthocenterMy Children: Medians - CentroidAre Bringing In: Angle Bisectors - IncenterPeanut Butter Cookies: Perpendicular Bisectors - Circumcenter
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
What is the measure of a 45-45-90 triangle if the hypotenuse is 12?
It depends on what you mean by "measure": perimeter or area, or lengths of medians perhaps, or angle bisectors.
What are the properties of an equilateral triangle?
Equilateral triangles have, by definition, 3 equal sides. This means they also have 3 equal angles (i.e. they are equiangular) with each angle measuring 60 degrees. They have 3 lines of symmetry from each vertex to the midpoint of the opposite side. These lines are the medians, perpendicular bisectors, altitudes, and angle bisectors of the triangle. The point where these three lines intersect is the centroid, incenter, circumcenter, and orthocenter of the triangle. The area of an equilateral triangle is sqrt(3)/4*s where s is the side length of the triangle.
What type of triangle has 3 angle bisectors that are also perpendicular bisectors?
equilateral triangle
Angle bisector of a triangle?
The angle bisectors of a triangle are the lines which cut the inner angles of a triangle into equal halves. The angle bisectors are concurrent and intersect at the center of the incircle.
