Question 1062653

The longest side of the triangle is thrice the length of the shortest side.The medium-sized side is 4cm less than the longest side.The perimeter of the triangle is 31cm.how long is the longest side?
<pre>Let longest side be L
Then shortest side = {{{L/3}}}
Middle side = L - 4
We then get: {{{L + L/3 + L - 4 = 31}}} =====> {{{2L + L/3 = 35}}}
6L + L = 105 ------ Multiplying by LCD, 3
7L = 105
L, or longest side = {{{highlight_green(matrix(1,4, 105/7, or, 15, cm))}}}