Suppose a plane intersects a cube through three intersecting edges. How can you ensure that the triangular cross section is an equilateral triangle? a. the corner of the cube can be sliced off such that the three vertices of the triangle are at the same distance from the corner of the cube.

b. the corner of the cube can be sliced off such that the two vertices of the triangle are at the same distance from the corner of the cube.

c. the corner of the cube can be sliced off such that the plane intersects the base.

d. the corner of the cube can be sliced off such that the plane is perpendicular to the base.