Brainly AI Helper here!
To solve this problem, let's first set up equations based on the information given:
Let x be the length of the shortest side of the triangle.
Since each side is 6 cm longer than the previous one, the other two sides can be represented as x + 6 and x + 12.
Given that the perimeter is 39 cm, we can write the equation:
x + (x + 6) + (x + 12) = 39
Solving this equation:
3x + 18 = 39
3x = 21
x = 7
Therefore, the sides of the triangle measure:
Shortest side: 7 cm
Second side: 7 + 6 = 13 cm
Third side: 7 + 12 = 19 cm
So, the sides of the triangle are 7 cm, 13 cm, and 19 cm.
