Triangles
Def.: a triangle is a flat shape with three straight sides and three angles.
Def.: a triangle is the union of three segments determined by three noncollinear points.
A, B, C are the vertices
AB, BC, AC are the sides
α, β, γ are the angles
Classification of triangles
Def.: an acute triangle is a triangle with three acute angles.
Def.: an obtuse triangle is a triangle with an obtuse angle.
Def.: a right triangle is a triangle with a right angle.
In a right triangle, the longest side of the triangle (opposite the right angle) is called the hypotenuse, the two shorter sides are called the legs.
Def.: an equiangular triangle is a triangle with three equal angles.
Def.: a scalene triangle is one in which no two sides are equal.
An isosceles triangle is one in which two sides are equal.
An equilateral triangle is one with three equal sides.
An equiangular triangle is always equlateral!!!