SOLUTION: Which list could not be the measures of lengths of the three sides of a given triangle? 2 ft, 6 ft, 5 ft 12 yd, 35 yd, 20 yd 5 cm, 12 cm, 15 cm 11 mi, 4 mi, 12 mi ??

Question 305008: Which list could not be the measures of lengths of the three sides of a given triangle?
2 ft, 6 ft, 5 ft
12 yd, 35 yd, 20 yd
5 cm, 12 cm, 15 cm
11 mi, 4 mi, 12 mi
??
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Which list could not be the measures of lengths of the three sides of a given triangle?
2 ft, 6 ft, 5 ft
12 yd, 35 yd, 20 yd
5 cm, 12 cm, 15 cm
11 mi, 4 mi, 12 mi
------------------------
12 yd, 35 yd, 20 yd This one won't work.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
let's look at some known triangles
3,4,5 and 5, 12, 13
the third side is less than the sum of the other two
3+4>5
4+5>3
3+5>4
but 12,20 32
12+20<35
so this can't be a triangle

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