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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
Are the medians of an obtuse angle the same length?
In an obtuse triangle, the medians do not have to be the same length. The lengths of the medians depend on the lengths of the sides of the triangle, which can vary regardless of whether the triangle is acute, right, or obtuse. Therefore, unless the triangle is isosceles (where two sides are equal), the medians will generally be different lengths.
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.
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
Are the medians of an obtuse angle the same length?
In an obtuse triangle, the medians do not have to be the same length. The lengths of the medians depend on the lengths of the sides of the triangle, which can vary regardless of whether the triangle is acute, right, or obtuse. Therefore, unless the triangle is isosceles (where two sides are equal), the medians will generally be different lengths.
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.
How many perpendicular lines are there in an equilateral triangle?
In an equilateral triangle, there are three altitudes, each of which is perpendicular to the side of the triangle it intersects. These altitudes are the lines that connect a vertex to the opposite side at a right angle. Additionally, the three medians of the triangle also intersect at the centroid, but they are not perpendicular to the sides. Therefore, the main perpendicular lines to consider are the three altitudes.
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).
