Problema Solution
the perimeter of a triangle is 60 cm. the longest side is 2 cm less than twice the shortest side and 11 cm greater than the other side. what is the length of each side?
Answer provided by our tutors
Let the sides of the triangle be 'a', 'b' and 'c' respectively.
Without losing the generality we can assume that a<b<c and also b+c>a (the triangle inequality)
a + b + c = 60
a = 2*c - 2
a = b + 11
by solving this system of equations we find
a = 28 cm
b = 17 cm
c = 15 cm
and also 17+15 = 32 > 28 thus
the lengths of each side of the triangle are 28 cm, 17 cm and 15 cm.