1.Consider whether the following statement is true or false; if true, reason or prove; if false, give an example."

Let ABC be a triangle whose side lengths are integers. If triangle ABC has the property that the lengths of any side of triangle ABC always divide the sum of the lengths of the remaining two sides. then triangle ABC is an obtuse triangle. ^3If ABC is a triangle with ACB as an obtuse angle, if the height of the triangle is drawn from point B and intersects line AC at point D, then point D will not lie on line segment AC.