In Exercises 17-20, describe the possible lengths of the
third side of the triangle given the lengths of the other
two sides. (See Example 5.)
17. Sinches, 12 inches 18. 12 feet, 18 feet
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19. 2 feet, 40 inches
20. 25 meters 25 meters
In Exercises 21-24, is it possible to construct a triangle
with the given side lengths? If not, explain why not.
21. 6. 7. 11
22. 3, 6, 9
23. 28. 17. 46
24. 35, 120, 125

Respuesta :

17. the sum of the lengths of any two sides of a triangle is always greater than the length of the third side

T=the third side

12+18>T

12+T>18

18+T>12

the first equation says that T<30

the second equation says that T>6

putting these together...

6<T<30

(Credit: Arthur D)