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name all of the possible values for x in the triangle below. show your work.​

Name All Of The Possible Values For X In The Triangle Below Show Your Work class=

Sagot :

mhanifa

Answer:

  • 3 < x < 17

Step-by-step explanation:

As per triangle inequality theorem, sum of the lengths of any two sides must be greater than the length of the third side.

  • x < 10 + 7 ⇒ x < 17
  • 7 < x + 10 ⇒ x > -3
  • 10 < x + 7 ⇒ x > 3

Combination of the inequalities above:

  • 3 < x < 17

The value of x must be between 3 and 17 units

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