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What triangle has an altitude which is also a median and angle bisector?
Wiki User
∙ 13y ago
An isosceles or an equilateral triangle perhaps?
Wiki User
∙ 13y ago
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Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
Why are the median angle bisector and altitude from the vertex angle of an isoceles triangle all the same?
It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
Is it possible for an angle bisector to be the same line as a median?
Yes. In an isosceles or equilateral triangle, it always is.
Can a median be an angle bisector and not a perpendicular bisector?
Yes.
Is the altitude of an isosceles triangle the angle bisector of the vertex?
Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.
What is the difference between altitude angle bisector and median?
The altitude is the segment from an angle of a triangle to the side opposite of the angle which is intersected perpendicularly by the altitude., the angle bisector cuts an angle into two congruent angles, and a median forms two congruent line segments.
Is this true If a median an altitude and an angle bisector are the same segment in a triangle the triangle is scalene?
No, it's not true.
Is the angle bisector also the median in an equilateral triangle?
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
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.
Why are the median angle bisector and altitude from the vertex angle of an isoceles triangle all the same?
It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
Can the altitude from the vertex angle of an isosceles triangle be the median?
If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.
Is it possible for an angle bisector to be the same line as a median?
Yes. In an isosceles or equilateral triangle, it always is.
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.
Can a median be an angle bisector and not a perpendicular bisector?
Yes.
Can an altitude be a perpendicular bisector?
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.
Is the altitude of an isosceles triangle the angle bisector of the vertex?
Yes, provided that the base is not one of the 2 equal sides. And it's also the perpendicular bisector of the base.
What can of triangel ecqel 4 cm?
It is difficult to be absolutely certain of the interpretation of this question. Any length in a triangle can be 3 cm: any one of the sides, any median, any altitude, any angle bisector, the inradius or the circumradius.
