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mr Goodwill [35]
2 years ago
9

If the lengths of two sides of a triangle are 6 and 7, the length of the third side may be

Mathematics
1 answer:
Ghella [55]2 years ago
5 0

Answer:

  • The third side may be between 1 and 13 units

Step-by-step explanation:

Let the missing side is x.

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than  the third side.

<u>We have inequalities:</u>

  • 6 + 7 > x ⇒ x < 13
  • 6 + x > 7 ⇒ x > 1
  • 7 + x > 6 ⇒ x > - 1

<u>The common solution is:</u>

  • 1 < x < 13
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