The two perpendicular lines L and R intersect at the point (3,
4) on the coordinate plane to form a triangle whose other two
vertices rest on the x-axis. If one of the other two vertices is
located at the origin, what is the x-coordinate of the other
vertex? A. 11/8 B. 33/8 C. 5 D. 20/3 E. 25/3 (E) The best way to
begin solving this problem is to sketch the triangle. Since the
lines are perpendicular, the triangle must be a right triangle
whose right angle is at the point (3, 4). We know that two
vertices of the triangle are (0; 0) and (3; 4). The third vertex
is (w; 0) because it lies on the x-axis. There are two way to
solve this problem. I. Using equations of the lines. The key to
this problem is to find the equations of the lines that
intersect and then to make some substitutions. Since we are
given two collinear points, the origin (0, 0) and (3, 4), it
should be clear that the slope of the line that connects these
points is equal to 4/3. So, the slope of the perpendicular line
must be the negative recipr