If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possib

Question

3 years ago

11

le distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16

1 answer:

S_A_V [24] · Answer 1 · 2022-03-22T03:13:24+03:00

9514 1404 393

Answer:

E. 16

Step-by-step explanation:

If the order of points on the line is ABCD, the distance between A and D is ...

AB +BC +CD = 5 + 9 + 3 = 17

If the order of points on the line is BADC, the distance between A and D is ...

BC -BA -DC = 9 -5 -3 = 1

Then the difference between the longest and shortest possible distances AD is ...

17 - 1 = 16 . . . . matches choice E