sevindjdna
sevindjdna sevindjdna
  • 22-06-2018
  • Mathematics
contestada

05.02)A triangle can be formed with side lengths 4 in, 5 in, and 8 in. True False

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jb460
jb460 jb460
  • 22-06-2018
The answer should be true because 4+5>8
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tdpuppies14
tdpuppies14 tdpuppies14
  • 22-06-2018
TRUE, a triangle with these side lengths is possible.

There is a theorem in geometry stating that the third side of a triangle must be shorter than the sum of the two current sides and longer than the difference of the two current sides. This theorem can be represented by the following inequality:

x = third side
1<x<9

8 falls right into the range, therefore, it is possible to have a triangle with sides 4 in, 5 in, and 8 in.
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