A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
length for the third side?

Respuesta :

The smallest possible whole number length for the third side is 7

Data obtained from the question

  • 1st length = 5
  • 2nd length = 11
  • 3rd length =?

How to determine the smallest possible length of the 3rd side

Case 1

1st + 2nd > 3rd

5 + 11 > 3rd

16 > 3rd

3rd length < 16

Case 2

1st + 3rd > 2nd

5 + 3rd > 11

3rd > 11 - 5

3rd > 6

Thus, we have

6 < 3rd length < 16

Since the 3rd length is greater than 6, then the smallest possible length for the 3rd side is 7

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