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B. Guided/Practice Activity Activity 1: Directions: In this activity, you will compare the sum of the measures of any two sides of a triangle with the measure of the third side. 1. Cut straws into three pieces, and use the pieces to form a triangle. Measure each side length to the nearest tenth of a centimeter. In the table below, record the measures of each side of the triangle from smallest to largest; then, find the sum of the measures of the small and medium sides. Repeat this activity twice, with two other triangles, to complete the chart. Small Medium Large Small + Medium 2. Compare the sum of the measures of the small and medium sides to the measure of the large side for each triangle you created. Describe what you notice. 3. Cut straws into three pieces so that it is NOT possible to form a triangle. Measure each side of the non-triangle to the nearest tenth of a centimeter. In the table below, record the measures of each side of the non-triangle from smallest to largest; then, find the sum of the measures of the small and medium sides. Repeat this activity twice, with two other non-triangles, to complete the chart. Small Medium Large Small Medium 4. Compare the sum of the measures of the small and medium sides to the measure of the large side for each non-triangle you created. Describe what you notice. 5. In the blanks below, write three inequalities that are always true for a triangle with side lengths s (small side), m (medium side), and I (long side). (These inequalities should be based on your conclusion from Question 5.) Triangle Inequality Theorem In a triangle with side lengths s, m, and I
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