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Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
The legs of a right triangle which are perpendicular to each other, are shorter than the hypotenuse side
The correct option based on the diagram, is the option greater than
AC is greater than BC
The reason the above selection is correct is as follows:
Please find attached the diagram showing the segment AB and BC
From the given diagram, we have that, the line BC is perpendicular to AY,
The shortest distance between a point and a line is a perpendicular line from the point to the line,
Therefore, given that the line BC which extends from the point C to the line XY is a perpendicular line, while the line AC which extends from the point C and intersects the line XY at A forms an acute angle, and is therefore, not a perpendicular line and is longer than the definition of the shortest distance from a point to a line
∴ AC is greater than BC
Learn more about right triangles, shortest distance between a point and a line here:
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