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The lengths of two sides of a triangle are 33 units and 42 units. The third side also has an integral length. What is the greatest possible number of units in the perimeter of the triangle?

 Nov 28, 2020
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Using the triangle inequality

 

33 + 42  >   than the remaining side  length

 

75 >  than the remaining side length

 

So.......the max length for the remaining side  =  74

 

And the max perimeter =   33 + 42 + 74  =    149 

 

 

cool cool cool

 Nov 28, 2020

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