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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 base for a candleholder. Will the pieces make a triangle? Explain your answer.​

Respuesta :

mhanifa

Answer:

  • No

Step-by-step explanation:

Use triangle inequality theorem, which states

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

The sum of two sides compared to the remaining side:

  • 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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