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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 else can I help you with?
Do 3 perpendicular bisectors of a triangle intersect at a point in the exterior of the triangle?
Since the intersection of the perpendicular bisectors of a triangle is the center of the inscribed circle (we call it the centroid of a triangle), the answer is no.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
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.
Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?
Yes. If you have an isosceles triangle standing up on the unequal side, thenthe line segment from the top vertex perpendicular to the base is all of these.
What intersects at the circumcenter of a triangle?
The perpendicular bisectors of the sides of a triangle intersect at its circumcentre.
Does a perpendicular bisector of a triangle always passes through the opposite vertex?
No, the perpendicular bisector of a side of a triangle does not necessarily pass through the opposite vertex. The perpendicular bisector is a line that is perpendicular to a segment at its midpoint, and it may intersect the interior or exterior of the triangle, depending on its shape. In fact, the only time a perpendicular bisector passes through the opposite vertex is in the case of an isosceles triangle, where the two sides are equal, and their perpendicular bisectors coincide with the altitude.
Does the angle bisector of a triangle intersect at a point of the exterior?
Never
Do 3 perpendicular bisectors of a triangle intersect at a point in the exterior of the triangle?
Since the intersection of the perpendicular bisectors of a triangle is the center of the inscribed circle (we call it the centroid of a triangle), the answer is no.
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.
Perpendicular bisector of a triangle?
Is a line that bisects a side of a triangle and is perpendicular to that side.
The orthocenter is the point shared by the angle bisector of a triangle?
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.
How does the perpendicular bisector affect the vertex angle of an isoceles triangle?
The perpendicular bisector bisects the angle at the vertex.
Will an angle bisector ever intersect outside the triangle?
No.
Do the perpendicular bisectors of a triangle always sometimes or never intersect on the triangle?
The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.
Is the altitude of a triangle always the perpendicular bisector?
No.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
