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Lesson 41 Classifying Triangles with answers.notebook November 14, 2014 Questions/Main Ideas Lesson 41 Classifying Triangles Classifying Triangles by Angles acute triangle all angles are acute (less than 90) obtuse triangle one angle is obtuse (greater than 90) right triangle one angle is right (equal to 90) equiangular triangle an acute triangle with all angles congruent Questions/Main Ideas Example 1 Classify each triangle as acute, equiangular, obtuse, or right. a. b. 1 Lesson 41 Classifying Triangles with answers.notebook November 14, 2014 Questions/Main Ideas Example 2 Classify ΔXYZ as acute, obtuse, right, or equiangular. Explain your reasoning. Questions/Main Ideas Classifying Triangles by Sides scalene triangle no two sides are congruent (all sides are different lengths) isosceles triangle at least two sides are congruent equilateral triangle all three sides are congruent (note: an equilateral triangle is also an isosceles triangle) 2 Lesson 41 Classifying Triangles with answers.notebook November 14, 2014 Questions/Main Ideas Example 3 The triangular truss below is modeled for steel construction. Classify ΔJMN, ΔJKO, and ΔOLN as acute, equiangular, obtuse, or right. Questions/Main Ideas Example 4 If point Y is the midpoint of VX, and WY = 3.0 units, classify ΔVWY as equilateral, isosceles, or scalene. Explain your reasoning. 3 Lesson 41 Classifying Triangles with answers.notebook November 14, 2014 Questions/Main Ideas Example 5 Find the measures of the sides of isosceles triangle KLM with base KL. 4