Question

d(P,R) = 7, d(P,Q) = 10 d(Q,R) = 3 find which of the point is between the other two. If the points are not collinear, ​

Answer 1

Given : d(P,R) = 7, d(P,Q) = 10 d(Q,R) = 3

To Find : which of the point is between the other two

Solution:

d(P,R) = 7,

d(P,Q) = 10

d(Q,R) = 3

7  +  3  = 10

PR  + QR  = PQ

=> PR +RQ  = PQ

Hence R is between  PQ

P -------------7 -----------------R  -----3 ------- Q

or

Q ------3 -------R  ----------------7 ---------------P

R is between  PQ

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Answer 2

Step-by-step explanation:

Step-by-step explanation:solution:d(P,R)= 7

7 d(p,q)=10

d(q,r)=3

d(q,r)=3d(p,r)+d(q,r)=7+3

d(q,r)=3d(p,r)+d(q,r)=7+3•°• d(p,r)+ d(q,r) =10

d(p,q)=10

•°• d(p,r)+d(q,r)=d(p,q)

•°• point P ,Q and R are collinear.

point R lies between points P and Q

Answer. P-R-Q or Q-R-P.