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If the intersection of the perpendicular bisectors of the sides of a triangle lies on one of the sides of the triangle the triangle must be?
Mikebjammin
A right triangle.
See: http://en.wikipedia.org/wiki/Circumscribed_circle#Circumscribed_circles_of_triangles
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∙ 14y ago
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What is the common intersection of the angle bisectors of a triangle.?
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
What is the term for the point where the perpendicular bisectors of a triangle's sides meet?
Circumcenter
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Which points of concurrency may lie outside the triangle?
The orthocentre (where the perpendicular bisectors of the sides meet).
The point of intersection of the perpendicular bisectors of the sides of a triangle is called?
circumcenter
What is the center of a triangle that is the intersection of the perpendicular bisectors of all 3 sides of the tiangle?
centroid
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.
What intersects at the circumcenter of a triangle?
The perpendicular bisectors of the sides of a triangle intersect at its circumcentre.
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.
What is the common intersection of the angle bisectors of a triangle.?
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
2 The intersection point of concurrency of the three perpendicular bisectors is called the?
Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.
The perpendicular bisectors of the sides of a triangle are concurrent at a point known as the?
circumcenter
What is the term for the point where the perpendicular bisectors of a triangle's sides meet?
Circumcenter
If orthocentre and circumcentre of a triangle coincide then is it an equilateral triangle?
Yes. The orthocenter is the intersection of the altitudes; the circumcenter is the intersection of the perpendicular bisectors of the three sides of the triangle. The perpendicular bisector of and altitude to a given side are parallel, so they can coincide at the common center only if they are the same; that means that the opposite vertex is on the perpendicular bisector, so the other two sides are equal. Thus each pair of sides are equal, so the triangle is equilateral.
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
