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  • 14-12-2020
  • Mathematics
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True or False? A triangle can have side lengths of 3, 3 , and 6

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OutOfNano
OutOfNano OutOfNano
  • 14-12-2020

Answer:

No

Step-by-step explanation:

We can check with the Pythagorean Theorem.

a^2 + b^2 = c^2

  a and b are always the smaller sides, the legs

  c is the longer side, the hypotenuse

3^2 + 3^2 >  6^2

9 + 9 > 36

18 < 36

18 is not greater than 36, therefore this triangle can not have the side lengths 3, 3, and 6.

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