Study guides

☆☆

Q: Is it possible for a segment to be a perpendicular bisector angle bisector median and altitude of a triangle?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

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! =)

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.

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.

converse of the perpendicular bisector theorem

Yes, it is true.

Related questions

No.

Yes - the altitude of an equilateral triangle is perpendicular to the side chosen as the base and bisects that side and the opposite angle. Also, the altitude of an isosceles triangle when measured from the third side (the side that is not equal to the other two sides) is a perpendicular bisector of the base and also bisects the opposite angle.

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.

Is a line that bisects a side of a triangle and is perpendicular to that side.

Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.

The perpendicular bisector bisects the angle at the vertex.

Maybe they are bisector, median, altitude and the middle perpendicular. (I hope I put it in English right :)

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! =)

Yes in equilateral triangle.

any isosceles triangle

A perpendicular bisector

The altitude of a triangle is measured perpindicular to its base.

People also asked