Respuesta :

Answer:

  • Option 3 : 19m, 34m, 15m

Step-by-step explanation:

First we must know this,

The length of the third side of a triangle must be less than than the sum of the lengths of any two sides of a triangle.

So, Now let us check one by one :

Option 1 : 5m, 6m, 8m

  • 5 + 6 > 8
  • 6 + 8 > 5
  • 5 + 8 > 6

So, 5m, 6m, 8m can form a triangle .

Option 2 : 10m, 10, 2m

  • 2 + 10 > 10
  • 10 + 10 > 2
  • 10 + 2 > 10

So, 10m, 10m, 2m can form a triangle .

Option 3 : 19m, 34m, 15m

  • 19 + 15 ≯ 34

So, 19m, 34m, 15m cannot form a triangle .

Option 4 : 3m, 16m, 14m

  • 3 + 14 > 16
  • 16 + 14 > 3
  • 16 + 3 > 14

So, 3m, 16m, 14m can form a triangle .

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