Problema Solution

the perimeter of a triangle is 59 in. the longest side is 11in. longer than the medium side, and the medium side is 3in longer than the shortest side. find the length of each side of the triangle

Answer provided by our tutors

let


x = the shortest side the triangle


x + 3 = the medium side (the medium side is 3in longer than the shortest side)


x + 3 + 11 = the longest side (the longest side is 11in. longer than the medium side)


the perimeter is 59 in means:


x + (x + 3) + (x + 3 + 11) = 59


by solving we find:


x = 14 in


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14 + 3 = 17 in


14 + 3 + 11 = 17 + 11 = 28 in


the shortest side is 14 in.


the medium side is 17 in.


the longest side is 28 in.