The figure below shows a partially completed construction of an obtuse scalene triangle. Points P and L represent two vertices of the triangle.

A horizontal line segment and a perpendicular line that meets the line segment at point P is drawn. A semi-circle with its center at P and which meets the line segment at two points; L on the right and M on the left, is drawn. O is the point of intersection of the semi-circle with the perpendicular line.

Where should the point for the third vertex lie?

between O and M and on the arc

between O and L and on the arc

between O and M and beyo

Question

The figure below shows a partially completed construction of an obtuse scalene triangle. Points P and L represent two vertices of the triangle.

A horizontal line segment and a perpendicular line that meets the line segment at point P is drawn. A semi-circle with its center at P and which meets the line segment at two points; L on the right and M on the left, is drawn. O is the point of intersection of the semi-circle with the perpendicular line.

Where should the point for the third vertex lie?

between O and M and on the arc

between O and L and on the arc

between O and M and beyo

anonymous · Answer

between O and L and on the arc