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Transcript

Use a ruler to construct a triangle with the given side lengths. a. 1, 2, 5 b. 3, 2, 5 c. 4, 2, 5 Only c is possible. Why? 1 Theorem 512 Triangle Inequality Theorem The sum of the lengths of any 2 sides of a triangle is greater than the 3rd side. Are the following triangles possible? 1. 5 8 20 2. 6 9 3 3. 6 9 4 4. State restrictions on the 3rd side. x 11 5 2 5. ABC has sides of lengths 1 inch, 1 7/8 inches, and 2 1/8 inches and angles of 900, 280, and 620. Which side is opposite each angle measure? In exercises 610, you are given an 18inch piece of wire. You want to bend the wire to form a triangle so that the length of each side is a whole number of inches. 6. Name 4 ways to form an isosceles triangle. 7. Name a way to form an acute scalene triangle. 8. A triangle has sides of 11 centimeters and 17 centimeters. The third side must be greater than ? and less than ?. 3 Homework p. 331-334/6-14 E, 16-19, 22-26 E, 31, 33-34 4