Question

He creates paths through the garden along Line segment A B, Line segment X Y, and Line segment Z Y. Which correctly compares the lengths of the paths?

A. The path along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B.
B. The path along Line segment A B is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment X Y.
C. The path along Line segment Z Y is longer than the path along Line segment X Y, and the path along Line segment X Y is longer than the path along Line segment A B.
D. The path along Line segment Z Y is longer than the path along Line segment A B, and the path along Line segment A B is longer than the path along Line segment X Y.

Answer 1

A

Explanation:

Answer 2

Statement A. is correct.

Explanation:

If the two sides making an angle Ф in a triangle have the fixed lengths then the length of the third side is proportional to the angle Ф.

Since the opposite angle of XY(79°) is larger than that of YZ(65°), so XY > YZ.

Again the opposite angle of YZ(65°) is larger than that of AB(36°), so YZ > AB.

{Since the sides containing those angle are same and they are 8 ft}

Therefore, statement A. is correct. (Answer)