Carcass wrote:
In the figure above, P is a point in the coordinate system and OP = 6. The y-coordinate of point P is
(A) less than OP
(B) greater than OP
(C) equal to OP
(D) equal to 5
(E) there is not enough information to decide
If we draw a vertical line from point P to the x-axis, we get a RIGHT triangle in which OP is the
hypotenuse of that right triangle, and the y-coordinate of point P is the length of one of the
legs of the right triangle.
Since the hypotenuse is always the longest side in a right triangle, we know that the y-coordinate of P is less than 6.
Answer: A