# algebra

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emily is constructing a triangle one side is 3 inches long and another is 5 inches long which of the following is the smallest measure emily could use for the third side of the triangle

• algebra -

no choices shown, but any number x such that 2 < x < 8 will work.

Why those values? Any side of a triangle must be less than the sum of the other two sides. Otherwise they will not reach, even if laid out end-to-end. So,

x < 5+3
5 < 3+x
3 < 5+x

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