13 Two sides of a triangle are 27 inches and 17 inches. What are the possible lengths of the third side? Give your answer as an inequality.
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The third side of the triangle will be lies between 10 and 44
The rule that we will use to answer this is:
The sum of lengths of two sides of a triangle must be more than the length of the third side.
So, we have side lengths 27 and 17. 27 + 17 = 44 and thus the third side must be less than 44.
Now to consider how small it can be. If we represent the third side as X, we can get 17 + X > 44 which gives us X > 27
Therefore the third side is between, but not including, 10 and 44 units long.
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