vanessa6439
vanessa6439 vanessa6439
  • 20-04-2020
  • Mathematics
contestada

What is the range of possible sizes for side x

What is the range of possible sizes for side x class=

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Hope008
Hope008 Hope008
  • 29-05-2022

Answer:

[tex]\boxed{\sf 1.6 < x < 9.6}[/tex]

Step-by-step explanation:

According to the triangle inequality theorem, any triangle side is always shorter than the sum of the other two sides.

Therefore the third side must be less than 4.0 + 5.6 = 9.6.

The third side must likewise be bigger than the difference between the previous two sides, according to the same theory.

Therefore the third side must be larger than 5.6 - 4.0 = 1.6.

So, 1.6 < x < 9.6

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