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Why are the median angle bisector and altitude from the vertex angle of an isoceles triangle all the same?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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What triangle has an altitude which is also a median and angle bisector?
An isosceles or an equilateral triangle perhaps?
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.
What are the 4 particular lines for a triangle?
Maybe they are bisector, median, altitude and the middle perpendicular. (I hope I put it in English right :)
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
Can the perpendicular bisector of a side of a triangle ever be the median to a side of a triangle?
Yes, it can.
What triangle has an altitude which is also a median and angle bisector?
An isosceles or an equilateral triangle perhaps?
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.
What median of an isosceles triangle is the same segment in the triangle as the leg bisector hypotenuse altitude?
It is the median which divides the side which is not one of the equal sides.
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.
What are the 4 particular lines for a triangle?
Maybe they are bisector, median, altitude and the middle perpendicular. (I hope I put it in English right :)
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.
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.
Could the median of a triangle be the perpendicular bisector?
Yes in equilateral triangle.
Can the perpendicular bisector of a side of a triangle ever be the median to a side of a triangle?
Yes, it can.
Given that bd is both the median and altitude of a abc. congruence postulate sas is used to prove that abc is what type of triangle?
BAD = BCD is the answer i just did it
How do you make a model of median and altitude of a triangle?
median intersect each other at a point inside triangle and altitude intrsect eachother at apoint outside triangle
If a median of a triangle is also an altitude of a triangle then is the triangle isosceles?
Yes
