SOLUTION: An artist is creating tiles to use in a project. Each tile is to be in the shape of a right triangle. The shortest side of a tile is to be 4 inches long. The next shortest side

Question 1079311: An artist is creating tiles to use in a project. Each tile is to be in the shape of a right triangle. The shortest side of a tile is to be 4 inches long. The next shortest side is to be x inches long.
Enter an expression in terms of x that models the longest side of a tile.
Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!

The shortest side = 4
The next shortest side = x, so x > 4
The longest side, the hypotenuse, is 

[That's probably all you wanted, but I'll continue]

The longest side of any triangle must be shorter than the
sum of the shorter sides, so



Start with 



Square both sides



Add 16 to both sides:





Take the positive square roots of both sides:







Changing to <



Since 

 

Edwin

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