The segment AB is equal to 26 cm the segment AC is less than BC by 8. how many AC.

In order to find the length of the segment AC, we will compose and solve the equation.
We know from the condition that the segment AB is 26 cm. It is also known that the segment AC is less than BC by 8. We will proceed from the fact that the point C belongs to the segment AB.
We denote by the variable x cm the length of the segment BC, then the length of the segment AC can be written as (x – 8) cm.
Knowing the length of the segment AB, we get the equation:
x + (x – 8) = 26;
x + x – 8 = 26;
2x = 26 + 8;
2x = 34;
x = 34: 2;
x = 17 cm BC and 17 – 8 = 9 cm AC.