Point M divides the 12cm segment AB into two segments so that the length of one of them is 3 times

Point M divides the 12cm segment AB into two segments so that the length of one of them is 3 times the length of the other. Find the length of the segments AM and BM.

We will solve this problem using an equation with one unknown.

1) The length of one segment is x centimeters.

2) The length of the other segment is x * 3 = 3x centimeters.

3) Let’s compose and solve the equation.

x + 3x = 12;

4x = 12;

x = 12/4 = 3;

x = 3;

Answer: The length of one segment is x = 3 centimeters, the length of the other segment is x * 3 = 3 * 3 = 9 centimeters.