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Geometry B Date: _________________ 4.2-4.3 Classifying Triangles and Angle Relationships in Triangles Objective: To classify triangles by their angle measures and side lengths To use triangle classification to find angle measures and side lengths To find the measures of interior and exterior angles of triangles Ex. 1: Classifying Triangles by Sides and Angles Classify each triangle by its sides and angles (two terms for each) a. b. Ex. 2: Using Triangle Classification a. Find the side lengths of the equilateral triangle. c. d. b. Find the side lengths of JKL . Ex. 3: Music Application A manufacturer produces musical triangles by bending pieces of steel into the shape of an equilateral triangle. The triangles are available in side lengths of 4 inches, 7 inches, and 10 inches. How many 4-inch triangles can the manufacturer produce from a 100 inch piece of steel? Ex. 4: Find Angles Measures in Triangles Find the measures of the missing angles in the diagram below. mWXY _________ mXWY _________ mXWYZ ________ More about Angle Measures: In a right triangle, the two acute angles will always add up to _______. o The acute angles in a right triangle are _________________________. Each measure of an equiangular triangle is always ___________. Ex. 5: Find the measure of each variable. a. b. HW: 4.2-4.3 Worksheet