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Can an isosceles triangle have three medians?
YES
What is the intersection of the medians called?
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
What are the identifying features of an isosceles triangle?
An isosceles triangle has two equal sides (and a third that is a different measure). It can also be identified by the fact that it has two equal angles and the third is different. The above also mean that two of the three altitudes, medians, etc are equal while the third is different. If the third measure is not different the triangle is equilateral.
In what type of triangle are the angle bisectors also the altitudes and medians of a triangle?
In an equilateral triangle, the angle bisectors are also the altitudes and medians. This is because all sides and angles are equal in an equilateral triangle, leading to a symmetry where the angle bisector from any vertex also serves as the median (dividing the opposite side into two equal segments) and the altitude (perpendicular to the opposite side). Thus, each of these segments coincides in an equilateral triangle.
Any triangle has what medians?
Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).
How many medians altitudes angle bisectors and perpendicular bisectors does a triangle have?
medians-3 altitudes-3
Can an isosceles triangle have three medians?
YES
What kind of triangle will be produced if one of its medians is perpundicular to the opposite side of that triangle?
In an isosceles triangle, one of the medians is perpendicular to the opposite side of that triangle. In an equilateral triangle, all three medians are perpendicular to the sides of that triangle.
What is the intersection of the medians called?
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
Do the medians of a triangle bisect the internal angles?
Not always. 1. The median to the base of an isosceles triangle bisects the vertex angle. 2. When the triangle is an equilateral triangle, then the medians bisect the interior angles of the triangle.
What triangle are one median and one altitude?
None. Altitudes may coincide with the sides of a triangle but medians cannot. So every triangle must have 3 distinct medians.
What kind of triangle has three angle bisectors that are also altitudes and medians?
Equilateral
What are the identifying features of an isosceles triangle?
An isosceles triangle has two equal sides (and a third that is a different measure). It can also be identified by the fact that it has two equal angles and the third is different. The above also mean that two of the three altitudes, medians, etc are equal while the third is different. If the third measure is not different the triangle is equilateral.
Any triangle has what medians?
Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).
Does medians make a right angles in isoscles one?
An isosceles triangle consists of a 90 degree angle and two 45 degree angles
Point of intersection of medians in a triangle?
The point where the three medians of a triangle intersect is called the centroid of the triangle.
What are the number of lines of symmetry in an equilateral triangle?
The three lines joining each vertex to the midpoint of the opposite side. They are also the medians, altitudes and perpendicular bisectors of the sides. In an equilateral triangle these are coincident.
