Question

If X-Y-Z, then ------------ is a true statement.

A) d (X,Y) = d(X,Z) + d (Y,Z) B) d(Y,Z) = d(X,Y) + d(X,Z)

C) ) d(X,Y) + d (Y,Z) = d(X,Z) D) d(X,Z) > d(X,Y) + d(Y,Z)​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If X-Y-Z, then ------------ is a true statement.

A) d (X,Y) = d(X,Z) + d (Y,Z)

B) d(Y,Z) = d(X,Y) + d(X,Z)

C) d(X,Y) + d (Y,Z) = d(X,Z)

D) d(X,Z) > d(X,Y) + d(Y,Z)

EVALUATION

Here X - Y - Z

So Y is a point between X and Z

d(X, Z)

= Distance between X and Z

= Distance between X and Y + Distance between Y and Z

= d(X,Y) + d (Y,Z)

FINAL ANSWER

Hence the correct option is

C) d(X,Y) + d (Y,Z) = d(X,Z)

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