The lengths of a triangle are consecutive even integers. What is the length of the medium side if the perimeter is 36? Set up the equation, and solve.

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The lengths of a triangle are consecutive even integers. What is the length of the medium side if the perimeter is 36? Set up the equation, and solve.

Mathematics
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let sides be x , x+ 2 and x+4 now form an equation
\[x+(x+2)+(x+4)=36\] This is given that x is the shortest side. You would then combine like terms and end up with\[3x+6=36\]. Subtract the six and then divide by 3 to get the shortest side which is 10. The middle length you would have to add two which would give you 12.
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