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sergejj [24]
2 years ago
15

What is the range of possible sizes for side x? _ < x < _

Mathematics
1 answer:
allochka39001 [22]2 years ago
3 0

Answer:

  0.5 < x < 16.5

Step-by-step explanation:

The third side of the triangle must be longer than the difference of the other two sides:

  x > (8.5 -8.0)

  x > 0.5

And it must be shorter than their sum:

  x < (8.5 +8.0)

  x < 16.5

The third side must be in the range ...

  0.5 < x < 16.5

_____

These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.

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y =  \frac{-7x}{2}+\frac{41}{2}

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