Geometry/Chapter 4/Lesson 1

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Introduction[edit]

A simple triangle

What is a triangle?[edit]

The vertexes are A, B, and C; The sides are AB, BC, and CA; The angles are <A, <B, <C

A triangle is a figure formed by 3 segments joining 3 noncollinear points. Each of these 3 points [in the triangle] are a vertex of the triangle. The segments are what is known as the sides of the triangle.

How do we classify triangles?[edit]

We can classify them by their angles or sides. This lesson we will go over how to classify triangles by their angles. Next lesson (Geometry/Chapter 4/Lesson 2), you will go over the 2nd way of classifying triangles: By their sides.

Classifying Triangles by Angles[edit]

One way of classifying triangles is by their angles. All triangles have at least 2 acute angles, but the third angle is used to classify what type of triangle it is.

Acute Triangle

In an acute triangle, ALL of the angles are acute (<90). There is no single angle in this triangle that is (≥ 90).

Obtuse Triangle

In an obtuse triangle, only ONE angle is obtuse. Only one angle in this triangle is (> 90).

Right Triangle

In a right triangle, only ONE angle is right (= 90).

Equiangular triangle

In an equiangular triangle, ALL angles are congruent (<1 = <2, <2 = <3, <1 = <3).