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Lesson 4.3: 1. 2. 3. 4. Homework Discussion Isosceles Triangles Triangle Inequalities Exterior Angle Theorem Warm Up #1 – 4.1 hw #10: • Determine the value of each letter. Warm Up #2: • Determine the value of each letter. Revisiting a Previous Problem: (From the 3.4 Warm Up) a) Use a compass and a ruler to construct a triangle with side lengths of 6 cm, 8 cm, and 10 cm. What type of triangle is this – classify by sides and angles. b) Use a compass and a ruler to construct a triangle with side lengths of 6 cm, 8 cm, and 18 cm. What type of triangle is this – classify by sides and angles. Triangle Inequalities: Triangle Inequality Conjecture: The sum of the lengths of any two sides of a triangle is __________ the length of the third side. • Investigation #2 – Use the handout to complete the investigation. Side-Angle Inequality Conjecture: In a triangle, if one side is longer than another side, then the angle opposite the longer side is ___________________. Practice #1: • Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible, write no and make a sketch demonstrating why it is not possible. a) 3 cm, 4 cm, 5cm b) 6 m, 9 m, 16 m Practice #2: • Use your new conjectures to arrange the unknown measures in order from greatest to least. 11 c 16 b 18 a More Vocabulary: • Interior vs. Exterior Angles with Triangles: Investigation #3 - Sketchpad: Practice #3: • Use the exterior angle conjecture to find the value of x. Practice #4: • Find the value of x. Then find the measure of the exterior angle. Practice #5: • What’s wrong with this picture? Homework: • P. 218-220: 1, 3, 6, 7, 10, 13, 15-17, 20, 22 Challenge: