jay01882
jay01882 jay01882
  • 13-01-2022
  • Mathematics
contestada

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

Respuesta :

mhanifa
mhanifa mhanifa
  • 14-01-2022

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.

We have inequalities:

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

The common solution is:

  • 1 < x < 13
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