Page 2: Advanced Triangle Classification and Algebraic Solutions

This page delves into more complex triangle classifications and introduces algebraic problem-solving methods for finding triangle sides.

Example: Problem 1 demonstrates solving for x and y in an equilateral triangle where sides are expressed as algebraic expressions: 3x+1, 6x-45, and 18y-41

Highlight: The page introduces solving for triangle sides with algebra using properties of isosceles and equilateral triangles

Definition: In an isosceles triangle, two sides are congruent, and their corresponding angles are also congruent

Page 1: Triangle Classification Fundamentals

This page introduces the fundamental concepts of classifying triangles by angles and sides. The content is organized into clear sections with visual examples and definitions.

Definition: Triangles can be classified by angles into three categories: acute (all angles < 90°), obtuse (one angle > 90°), and right (one angle = 90°)

Vocabulary: Equiangular triangles have three congruent angles, each measuring 60°

Example: The diagram shows various triangles labeled ABDE (obtuse), ACFE (acute), and AJKN (equilateral)

Highlight: When classifying triangles by sides, they can be equilateral (3 congruent sides), isosceles (2 congruent sides), or scalene (no congruent sides)