Problema Solution

The perimeter of a triangle is 33 centimeters. The first side is 5 centimeters shorter than the second, and the third is twice the first. Find theb lengths of the sides

Answer provided by our tutors

let


a = the length of the first side

b = the length of the second side

c = the length of the third side


perimeter of a triangle is 33 centimeters


a + b + c = 33


the first side is 5 centimeters shorter than the second


a = b - 5


the third is twice the first


c = 2a


by solving the system of equations


c = 2a

a = b - 5

a + b + c = 33


we find


a = 7 cm


b = 12 cm


c = 14 cm


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the lengths of the sides of the triangle are 7 cm, 12 cm and 14 cm.