The vertices A and D of square ABCD lie on the positive sides of x- and y-axis, respectively. If the vertex C is the point 12,17, then the coordinates of vertex B are

Let the coordinates of B be 17,12 Draw BL and CM perpendicular to the x-axis and the y-axis, Therefore, acosθ=CM=OD=AL=12and asinθ=DM=OA=BL=5∴  k=5and h=OL=OA+AL=5+12=17Hence, point B is 17,5