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Oksana_A [137]
3 years ago
14

Max has three pieces of oak trim that are 7 inches, 11 inches, and 18 inches long. He wants to use them to make a triangular bas

e for a candleholder. Will the pieces make a triangle? Explain your answer.​
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

  • No

Step-by-step explanation:

<u>Use triangle inequality theorem, which states</u>

<em>"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."</em>

<u>The sum of two sides compared to the remaining side:</u>

  • 7 + 11 = 18 = 18 - not ok
  • 7 + 18 = 25 > 11 - ok
  • 11 + 18 = 29 > 7 - ok

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

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