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In triangle ABC, AB = 17 and BC = 27. For how many integer values of AC is ABC acute? 

 

Im pretty sure a triangle is acute if the longest side squared is smaller than the smaller sides squared added together

 Oct 5, 2021
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The possible values of AC are 26, 27, 28, 29, 30, for a total of $\boxed{5}$ values.

 Oct 5, 2021

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