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What is the term for the point where the perpendicular bisectors of a triangle's sides meet?
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∙ 14y ago
Circumcenter
Wiki User
∙ 14y ago
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In ABC the angle bisectors meet at point D. Point E is on and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of t?
The radius is DE
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Does a square based pyramid have a perpendicular?
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
The perpendicular bisectors of the sides of a triangle are concurrent at a point known as the?
circumcenter
The point of intersection of the perpendicular bisectors of the sides of a triangle is called?
circumcenter
In ABC the angle bisectors meet at point D. Point E is on and is perpendicular to . Point F is the location where the perpendicular bisectors of the sides of the triangle meet. What is the radius of t?
The radius is DE
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
Does a square based pyramid have a perpendicular?
Yes. They have perpendicular bisectors in the four triangles that make up four of the five sides of a square-based pyramid
What point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
The point that is equidistant from all vertices of the regular polygon?
The centroid or centre of gravity. It will also be the point where the bisectors of the angles, and the perpendicular bisectors of the sides meet.
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
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.
