SOLUTION: the sides of an acute triangle are x, 35, and 37, where x is the shortest side.find the range of possible values for x and express it as an inequality. pleases help. i have no ide

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Question 564641: the sides of an acute triangle are x, 35, and 37, where x is the shortest side.find the range of possible values for x and express it as an inequality.
pleases help. i have no idea where to start with this. thanks in advance for your help.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Imagine the side that is laying flat
on a table. The side that is is hinged
at one end of the . It is free to swing
in a plane that is perpendicular to the table.
-----------------------------------
If you lay it alongside the side, the
difference is , so is one limit.
-----------------------------------
As I swing the side I must stop before
the distance from the free end of and
the unhinged end of equals ,
because must be the shortest side
-----------------------------------
So, the limits are
Hope this isn't confusing

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