5.2.1 Indirect Proof and Inequalities in One Triangle - Worksheet (continued)
Example 4: The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side. 11. 8 mm, 12 mm 12. 16 ft, 16 ft 13. 11.4 cm, 12 cm
Example 5: 14. The refrigerator, stove, and sink in a kitchen are at the vertices of a path called the work triangle. a. If the angle at the sink is the largest, which side of the work triangle will be the longest?
Sink
** **
Stove
b. The designer wants the longest side of this triangle to be 9 feet long. Can the lengths of the other sides be 5 feet and 4 feet? Explain.
Fridge
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