Question

If d(P,R) = 7, d(Q,R) =3& d(P,Q) = 4, what can we say about points P, and R ?

Answer 1

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We have,

d(P, R) = 7; d(P, Q) = 10; d(Q, R) = 3

Now,

d(P, R) + d(Q, R) = 7 + 3

Or,

d(P, R) + d(R, Q) = 10

∴ d(P, Q) = d(P, R) + d(Q, R)

Hence, the points P, R and Q are collinear.

The point R is between P and Q i.e., P-R-Q.