YES
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
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 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).
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.
medians-3 altitudes-3
YES
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.
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
None. Altitudes may coincide with the sides of a triangle but medians cannot. So every triangle must have 3 distinct medians.
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.
Equilateral
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 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).
An isosceles triangle consists of a 90 degree angle and two 45 degree angles
The point where the three medians of a triangle intersect is called the centroid of the 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.