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What are the measures of all angles in a triangle if 2 sides equal the third side?
If two sides of a triangle are equal in length to the third side, then the triangle is equilateral, and all angles are 60 degrees.
The congruent sides of an isosceles triangle?
The congruent sides of an isosceles triangle are the two sides that are equal in length. These two sides are opposite the equal angles of the triangle. The third side, called the base, is not equal in length to the other two sides.
What are three types of triangles that are or can be acute?
Acute scalene triangle: A triangle with three sides of different lengths and all three angles less than 90 degrees. Acute isosceles triangle: A triangle with at least two sides of equal length and all three angles less than 90 degrees. Acute equilateral triangle: A triangle with three equal sides and all three angles measuring less than 60 degrees.
Are the diagonals of an isosceles triangle congruent?
Yes, the diagonals of an isosceles triangle are congruent. This is because an isosceles triangle has two sides that are equal in length, which creates two congruent triangles when the diagonals are drawn.
The intersection of the angle bisectors of a triangle?
The intersection of the angle bisectors of a triangle is called the incenter. It is equidistant from the sides of the triangle and can be constructed by drawing the angle bisectors of the triangle's angles. The incenter is the center of the incircle, which is the circle inscribed within the triangle.
