Problema Solution

The Perimeter of a triangle is 18 feet. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answer provided by our tutors

let 'a', 'b' and 'c' be the sides of the triangle


The Perimeter of a triangle is 18 feet:


a + b + c = 18


The second side is two feet longer than the first:


b = a + 2


The third side is two feet longer than the second:


c = b + 2


by solving the system of equations


a + b + c = 18

b = a + 2

c = b + 2


we find


a = 4 ft


b = 6 ft


c = 8 ft


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the lengths of the sides are 4ft, 6 ft and 8 ft.