Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Which statement can be proved true using the given theorem? (6 points)

Select one:
a. Segment BF = 9
b. Segment BD = 18
c. Segment BD = 20
d. Segment BF = 24

Theorem A line parallel to one side of a triangle divides the other two proportionately Which statement can be proved true using the given theorem 6 points Sele class=

Respuesta :

Answer:

c

Step-by-step explanation:

C. BD= 20

Use similar triangles to write a proportion and then cross multiply to solve.

AE: AC = AD:AB

(ONCE YOU KNOW AB YOU CAN SUBTRACT AD FROM AB TO GET BD =20)

So, 15:40 = 12: AB=32.  now 32-12 = 20 so BD = 20