Only if you are dancing on a log in the lost forest.
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
The angle that is not congruent to the base angles of an isosceles triangle is called the "vertex angle." In an isosceles triangle, the vertex angle is formed by the two equal sides, while the base angles are the angles opposite the equal sides.
Vertex angle
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
The base
The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.
The third angle of an isosceles triangle doesn't have a name.
The angle that is not congruent to the base angles of an isosceles triangle is called the "vertex angle." In an isosceles triangle, the vertex angle is formed by the two equal sides, while the base angles are the angles opposite the equal sides.
Vertex angle
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-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
No. It need not be the base angles that are equal, it can be one of the base angles and the top angle (if the triangle is tipped over). Also, the base angle are equal in an equilateral triangle - although an equilateral triangle is a special kind of isosceles triangle.
The base
The two "base" angles.
The base angles of an isosceles triangle are called the base angles. In an isosceles triangle, two sides are of equal length, and the angles opposite these sides are also equal. This means that the base angles are congruent. The third angle, which is the vertex angle, is located opposite the base.
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
No, an obtuse triangle cannot be isosceles. An isosceles triangle has two sides that are equal in length, but in an obtuse triangle, the angles are all greater than 90 degrees. Therefore, the sides cannot be equal in length.