Respuesta :

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

so

18/6=DC/11

solve for DC

DC=3*11

DC=33

Find the length of BD

BD=BC+DC

BD=11+33=44 units

therefore

the answer is 44 units