It is known that AC = 17 cm, BD = 9 cm, BC = 3 cm. Calculate the length of the segment AD.

It is known that AC = 17 cm, BC = 3 cm.Let’s find the length of the segment AB, for this it is necessary to subtract the length of the segment BC from the length of the segment AC:
AC – BC = 17 – 3 = 14 (cm) – the length of the segment AB;
It is known that BD = 9 cm, BC = 3 cm.Let’s find the length of the segment CD, for this it is necessary to subtract the length of the segment BC from the length of the segment BD:
BD – BC = 9 – 3 = 6 (cm) – length of the CD segment;
In order to find the length of the segment AD, it is necessary to add up all the segments that make up this segment:
AB + BC + CD = 14 + 3 + 6 = 23 (cm) – the length of the segment AD.
Answer: 23 cm