The triangle [tex]ABC[/tex] is divided into four parts by the two line segments [tex]\overline{AD}[/tex] and [tex]\overline{BE}[/tex]. The areas of the three small triangles are 1, 3, and 4.5, as indicated. What is the area of triangle [tex]ABC[/tex]?

The triangle texABCtex is divided into four parts by the two line segments texoverlineADtex and texoverlineBEtex The areas of the three small triangles are 1 3 class=