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Two sides of an acute triangle are  8 and 15 . How many possible lengths are there for the third side if it is an integer?

 Feb 5, 2022
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According to the Triangle Inequality, the sum of any two sides of a triangle is greater than the third side. Let's call the third side x.

 

8 + 15 > x --> x < 23

8 + x > 15 --> x > 7

15 + x > 8 --> always true

 

x has to be between 8 and 22 inclusive, giving us 15 possible side lengths.

 Feb 5, 2022

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