The best representation of the possible range of values for the third side, s is 2 < s < 18.
An acute triangle is a triangle with three acute angles.
Now the given sides of acute triangle is 8 cm and 10 cm.
Third side is s.
Now, since the third side of any triangle must be greater than the difference of the given two sides and must be less than the sum of the given two sides.
hence,
s > (10 - 8)
s > 2
and,
s < (10 + 8)
s < 18
So, the required range of the third side of acute triangle is given as,
2 < s < 18
Hence, the best representation of the possible range of values for the third side, s is 2 < s < 18.
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