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Please Help me and don't report this

Please Help me and don't report this-example-1
User MvG
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8 < x < 8.5 is your answer

other sides has to always be less than the hypotenuse

User Miao
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7 votes

9514 1404 393

Answer:

0.5 < x < 16.5

Explanation:

The sum of the two shortest sides of a triangle must always exceed the length of the longest side.

If x and 8.0 are the short sides, then ...

x + 8.0 > 8.5

x > 0.5

If 8.0 and 8.5 are the short sides, then ...

8.0 +8.5 > x

16.5 > x

So, for the given triangle to exist, we must have ...

0.5 < x < 16.5

_____

Additional comment

You will notice that the value 0.5 is the difference of the given sides, and 16.5 is their sum. This will always be the case for a problem like this. The third side length always lies between the difference and the sum of the other two sides.

User Yearntolearn
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