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Could Someone help me please? Thank You!!

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A triangle has three sides of the following side lengths: 7, 10, and $$x^2$$. What are all of the positive integer values of x such that the triangle exists? Separate your answers using commas and express them in increasing order.

Jul 25, 2019

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$$\text{The key thing is that the sum of the length of any two sides is greater than the length of the third side}\\ 7+10 > x^2\\ 17>x^2\\~\\ x^2+7>10\\ x^2 > 3\\ \text{integer values of x are 2,3,4}$$

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Jul 25, 2019
#2
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Thanks Rom!

Jul 25, 2019