355,823 views
27 votes
27 votes
Point C is the midpoint of AB and point B is between points A and D . If AD=17 and BD=9 , what is CD ?

CD=


User Garry Law
by
2.6k points

1 Answer

13 votes
13 votes

Answer: 13 units

Step-by-step explanation:Given that Point C is the midpoint of AB and point B is between points A and D. If AD = 17 and BD = 9

According to definition midpoint, AC = CB

According to definition of segment addition postulate, AD = AB + BD

AB = AD - BD

AB = 17 - 9

AB = 8

Again, AB = AC + CB

Therefore, CB = AB/2

CB = 8/2 = 4

Now, CD = CB + BD = 4 + 9

CD = 13 units

Hence, length of CD = 13 units

User IndieRok
by
2.9k points