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Integrated Math 1 Extended - Unit 5 Name: __________________________ 5.5A- Triangle Classification Date: _____________ Period: ______ Objective: To define and classify different types of triangles by sides and angles. Warm-up: Solve for the value of the variable in the triangles below. a. b. 40° (2π₯ β 4)° 60° π§° Vocabulary: Classification by Sides: ** Scalene Triangle: A triangle with no congruent sides. ** Isosceles Triangle: A triangle with two (2) congruent sides. ** Equilateral Triangle: A triangle with all sides congruent. (3π₯)° 84° Classification by Angles: ** Acute Triangle: A triangle with all acute angles. ** Right Triangle: A triangle with one (1) right angle and two acute angles. ** Obtuse Triangle: A triangle with one (1) obtuse angle and two acute angles. ** Equiangular Triangle: A triangle with all congruent angles. The angles have to each be exactly _______________ degrees. Example #1: Classify each triangle by its sides 5 in 6 cm 6 cm 4 ft 3 in 4 ft 4 ft 4 ft 4 ft Example #2: Classify each triangle by angles 5 mm 4 mm 3 mm 30° 15.2 in 6.8 in 9.9 in Example #3: Classify the following triangles by sides and angles 6 10 112° 9 11 48° 5 77° 5 68° 6.8 51° 8 52° 4.9 Example #4: Solve for the variable in each diagram below. 7 30° 25° x+5 30° 13y° Example #5: Use the given information and the diagram to answer the question. Given: οPOM is a Right Isosceles Given: οRAT is Equilateral PO ο OM Solve for the TA Find the missing angle measures. R P 4x β 7 O M A 2x + 3 T Integrated Math 1 Extended - Unit 5 Name: __________________________ 5.5B- Triangle Classification Date: _____________ Period: ______ Objective: To define and use the specific parts of a triangle Warm-up: Match each vocabulary term to its definition. 1. Acute Triangle ___________ A. Contains one right angle 2. Obtuse Triangle ___________ B. All sides and angles are congruent 3. Right Triangle ___________ C. No congruent sides or angles 4. Isosceles Triangle ___________ D. Two sides and angles are congruent 5. Equilateral Triangle ___________ E. Contains all acute angles 6. Scalene Triangle ___________ F. Contains one obtuse angle Vocabulary: Isosceles Triangle: * Base: The side that is non-congruent (the unequal side) * Legs: The two congruent sides of an isosceles triangle. * Base Angles: The two angles that are adjacent to the base of the triangle. * Vertex Angle: The angles that is formed by the two congruent sides of an isosceles triangle. Right Triangle: * Legs: The two sides that form the right angle in a right triangle. * Hypotenuse: The longest side of a right triangle located across from the right angle. Example 1: Fill in any information that you can get from the diagram. If there is not enough information to provide an answer, write βNot enough info.β A a) Classification of Triangle: πβ π΄ = c) 8 inches Μ Μ Μ Μ = π΄π΅ πβ π΅ = Μ Μ Μ Μ π΅πΆ = πβ πΆ = Μ Μ Μ Μ = π΄πΆ B C b) Classification of Triangle: πβ π΄ = A c) Μ Μ Μ Μ π΄π΅ = πβ π΅ = Μ Μ Μ Μ = π΅πΆ πβ πΆ = Μ Μ Μ Μ π΄πΆ = 120ο° 4 cm C 7 cm B A c) Classification of Triangle: c) πβ π΄ = 53ο° Μ Μ Μ Μ = π΄π΅ πβ π΅ = Μ Μ Μ Μ π΅πΆ = πβ πΆ = Μ Μ Μ Μ π΄πΆ = 3 yds C d) Classification of Triangle: A c) πβ π΄ = B 4 yds Μ Μ Μ Μ = π΄π΅ πβ π΅ = Μ Μ Μ Μ = π΅πΆ πβ πΆ = Μ Μ Μ Μ π΄πΆ = 6ft 45ο° C B Connecting Algebra and Geometry: A. Set up and equation and solve for z. B. Set up an equation and solve for x. Then, find the length of Μ Μ Μ Μ π΄π΅ . Then, find the length of Μ Μ Μ Μ π΄πΆ . A A 15π§ β 24 7π₯ β 25 π§+4 C B C 3π§ 3π₯ β 1 B