Point A belongs to the segment BC equal to 37 cm find the lengths of the segments AB and AC

Point A belongs to the segment BC equal to 37 cm find the lengths of the segments AB and AC if the segment AB is 6 cm longer than the segment AC.

1. Let’s denote the length of the segment AC through x cm.

2. Determine the length of the segment AB:

(x + 6) cm.

3. Let’s compose and solve the equation:

x + (x + 6) = 37;

x + x + 6 = 37;

2x + 6 = 37;

2x = 37 – 6;

2x = 31;

x = 31: 2;

x = 15.5.

4. The length of the AC segment is x = 15.5 cm.

5. What is the length of the segment AB?

x + 6 = 15.5 + 6 = 21.5 cm.

Answer: the length of the segment AC is 15.5 cm, the length of the segment AB is 21.5 cm.