The altitude is also a median . This means triangle ABC must be an isosceles triangle such that AB = BC (Note that the altitude is drawn from vertex B here).
Can altitude and median be same for a triangle yes or no?
The answer is No . The altitude and median is not the same thing in a triangle. ... However, in the case of an equilateral triangle, the median and altitude are always the same.
What is the difference between a median and an altitude?
Answer: The difference between medians and altitudes is that a median is drawn from a vertex of the triangle to the midpoint of the opposite side , whereas an altitude is drawn from a vertex of the triangle to the opposite side being perpendicular to it.
Is median and altitude are same in isosceles triangle?
Angle bisector and median both are the same in an isosceles triangle when an altitude is drawn from a vertex to base . Altitude median angle bisector all interchange in case of an isosceles triangle.
Can altitude and median be same for a triangle name the triangle?
The answer is No. The altitude and median is not the same thing in a triangle . ... However, in the case of an equilateral triangle, the median and altitude are always the same.
Is altitude always 90 degree?
Perpendiculars are lines that form 90° angles when they meet . Altitudes are segments that are perpendicular to a side of a triangle and reach from that side to the opposite corner of the triangle.
What is the difference between median and altitude of triangle?
A median of a triangle is a segment connecting a vertex to the midpoint of its opposite side. An altitude of a triangle is a segment from a vertex to the line containing its opposite side, and is perpendicular to that line. An angle bisector divides an angle into two congruent angles.
Can a Midsegment be a median?
This is different from a median, which connects a vertex to the midpoint of the opposite side. To construct a midsegment, find the midpoint of two sides . This can be done by drawing a perpendicular bisector on one side of the triangle. ... A median will contain the vertex, the midsegment will not.
Is median a bisector?
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side . ... In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedra.
Is a median always perpendicular to the opposite side?
Segment joining a vertex to the mid-point of opposite side is called a median. Perpendicular from a vertex to opposite side is called altitude . A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.
What is a triangle called with 2 equal sides?
An isosceles triangle can be drawn in many different ways. It can be drawn to have two equal sides and two equal angles or with two acute angles and one obtuse angle. It is easy to work out the missing angles of an isosceles triangle by looking for the angles that should be equal.
What is altitude in a triangle?
An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).
In which triangle median is equivalent to altitude?
For an equilateral triangle , the median cuts the side in half and is the same as an altitude. This is also true in an isosceles triangle.
What does an altitude equal?
Altitudes can be used in the computation of the area of a triangle: one half of the product of an altitude's length and its base's length equals the triangle's area . Thus, the longest altitude is perpendicular to the shortest side of the triangle.
Is altitude height of a triangle?
In a triangle, a line segment from a vertex and perpendicular to the opposite side is called an altitude. It is also called the height of a triangle. When a triangle is a right triangle, the altitude, or height, is the leg. ...
Does an altitude bisect the vertex angle?
The altitude to the base of an isosceles triangle bisects the vertex angle . The altitude to the base of an isosceles triangle bisects the base.
