Respuesta :

Answer:

see explanation

Step-by-step explanation:

Given a line CD parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally, thus

(a)

[tex]\frac{EC}{CA}[/tex] = [tex]\frac{ED}{DB}[/tex]

(b)

[tex]\frac{EC}{EA}[/tex] = [tex]\frac{ED}{EB}[/tex]

(c)

[tex]\frac{EB}{ED}[/tex] = [tex]\frac{EA}{EC}[/tex]

(d)

[tex]\frac{DB}{EB}[/tex] = [tex]\frac{CA}{EA\\}[/tex]