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43 day 1 2012.notebook November 15, 2012 Side Lengths in Triangles • Can any three sticks form a triangle? Why or why not? • Is it possible to have three sticks that will not form a triangle? If so, when. Triangle Inequalities • We will answer these questions today: DAY 1 Nov 128:44 AM Triangle Inequality Conjecture • The sum of the lengths of any two sides of a triangle is ___________________ the length of the third side. Nov 128:44 AM Ex. 1 Is it possible to have triangles with sides length… • 5, 2, and 8 inches? • 3, 4 and 5 meters? Nov 128:44 AM Nov 128:44 AM Side-Angle Inequality Conjecture • In a triangle, if one side is longer than the another side, then the angle opposite the longer side is larger than the angle opposite the shorter side. Nov 129:04 AM Nov 128:44 AM 1 43 day 1 2012.notebook Nov 1212:18 PM Name the shortest and longest sides of the triangle November 15, 2012 Nov 129:06 AM Name the smallest and largest angles of the triangle Nov 128:44 AM Nov 128:44 AM Nov 128:44 AM Nov 128:45 AM Ex. 2 2