Question

Which of the following sets of lengths could not be the side lengths of a triangle?

3 meters, 5 meters, 7 meters
1 yard, 1.25 yards, 1.5 yards
5 inches, 10.5 inches, 17 inches
15 millimeters, 18 millimeters, 30 millimeters

Answer 1

Answer C is correct.

5 inches, 10.5 inches, 17 inches

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Answer 2

To find out if the three side lengths can create a triangle, the three smaller lengths must be greater than the longer length.


`\bf~Option~A`


`\sf~3~meters,5~meters,7~meters`


`\sf3+5=8>7`

So this can create a triangle.


`\bf~Option~B`


`\sf1~yard,1.25~yards,1.5~yards`


`\sf1+1.25=2.25>1.5`

So this can create a triangle.


`\bf~Option~C`


`\sf5~inches,10.5~inches,17~inches`


`\boxed{\sf5+10.5=15.5<17}`

So this cannot create a triangle.


`\bf~Option~D`


`\sf15~millimeters,18~millimeters,30~millimeters`


`\sf15+18=33>30`

So this can create a triangle.

Therefore, your answer is Option C.