1. Let line PQ intersect the sides of the ____ at X and Y. Then PQ < XY. 2. The points X and Y cut the ____ of the triangle into two parts, colored red and blue. 3. By the Triangle ____, XY is less than the length of the red portion. 4. Similarly, XY is also ____ than the length of the blue portion. 5. Combining these results, we get that 2XY is less than the perimeter of the triangle, which means XY is less than the ____. 6. Hence, ____ is less than the semi-perimeter as well.

8C Class 21 Warm-Up

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