If A,B,C are collinear points,d(A,C)=10,d(C,B)=3,then find distance AB.(Draw and write all the steps )
Answers
Given: A,B,C are collinear points,d(A,C)=10,d(C,B)=3,
To find : distance AB.
Solution:
d(A,C)=10 d(C,B)=3,
Case 1 C is between A and B
=> d ( A , B) = d(A.C) + d(C.B)
=> d(A , B) = 10 + 3
=> d (A , B) = 13
A --- 10 -----C ----3 ----- B
-------------13---------------
Case 2 A is between B and C
=> d ( C , B) = d(A.B) + d(A.C)
=> 3 = d(A.B) + 10
=> d (A , B) = - 7
distance can not be negative hence this is not possible case
Case 3 B is between A and C
=> d ( A , C) = d(A.B) + d(B.C)
=> 10 = d(A.B) + 3
=> d (A , B) = 7
A --- 7 -----B ----3 ----- C
-------------10---------------
d (A , B) can be 7 or 13
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