Question 1183406
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The lengths of the sides of a triangle in inches are three consecutive integers. 
The length of the shortest side is 25% of the perimeter. 
What is the length of the longest side?
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<pre>
Let the side lengths be  (n-1), n and (n+1)  inches.


Then the perimeter is  (n-1) + n + (n+1) = 3n  inches.


From the description, we have this equation


    n-1 = {{{(1/4)*(3n)}}}  inches.


Multiply both sides by 4, simplify and solve


    4n - 4 = 3n

    4n - 3n = 4

       n    = 4.


The triangle sides are of the length 3, 4 and 5 inches.      

The longest side is 5 inches.                              <U>ANSWER</U>
</pre>

Solved.


It is a classic (3,4,5) right angled triangle.



Happy learning (!)