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The length of the size of a triangle are 14, 15 and x. What are all the possible values

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The possible values of x for a valid triangle with side lengths 14, 15, and x are 1 < x < 29

How to determine the possible values of x

From the question, we have the following parameters that can be used in our computation:

Lengths = 14, 15 and x

For a triangle to exist, the sum of any two sides must be greater than the third side.

Considering the three possible pairs of sides and their inequalities, we have

  • 14 + 15 > x: This simplifies to 29 > x. So, x must be less than 29.
  • 14 + x > 15: This simplifies to x > 1. So, x must be greater than 1.
  • 15 + x > 14: This simplifies to x > -1. This is ignored because it is negative

Combining all three inequalities, we have

1 < x < 29

Hence, all possible values of x for a valid triangle with side lengths 14, 15, and x are 1 < x < 29

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The length of the size of a triangle are 14, 15 and x. What are all the possible values of x

User Carl Whalley
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