Can each set line segments form a triangle? Why or why not?

Question

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AB = 1/2 mile

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BC = 1/3 mile

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AC = 1/4 mile

Please help. Thank you

Answer 1

Draw out a comparable triangle, using parts of a foot instead of a mile.

Answer 2

A squared plus B squared equals C squared. C being the hypotenuse (longest side)

Find out which sides arn't the hypotenuse, then square them, add them, and see if they make up the third side :)

If it was me I would get rid of the fractions and put it into decimals too....

Answer 3

1/2 = 6/12
1/3 = 4/12
1/4 = 3/12

the longest side is not longer than the sum of the two shorter sides , so a triangle can be made

Answer 4

AB 
1/4
mile 4.
DE  0.205 kilometer
BC 
1/3
mile
EF  0.01 kilometer
AC 
1/4
mile