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  • 17-03-2022
  • Mathematics
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A triangle has two sides of length 8 and 17. What is the smallest whole number length for the third side

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olivgonz0276 olivgonz0276
  • 17-03-2022

Answer: a, b, c - sides of a triangle

a + b > c

a + c > b

b + c > a

We have a = 18 and b = 17. Substitute:

18 + 17 > c

35 > c → c < 35

18 + c > 17     subtract 18 from both sides

c > -1

17 + c > 18     subtract 17 from both sides

c > 1

c < 35 and c > -1 and c > 1.

Therefore  1 < c < 35

Answer: The smallest possible whole number length of third side is 2.

Step-by-step explanation:

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