() A construction crew has to dig ditches for a set of pipes that must carry water from point A to both of points B and C (see figure). Points B and C are 2 km apart and point A is 2 km from the midpoint of B and C. They want to dig as little as possible and they believe the best way to do that is to dig from point A to some point D along the midline a distance h from the midpoint of B and C. They know that they should choose h satisfying 0 h 2 but they are not sure exactly what value of h to use