Question

∆ ∥ , = , = , = 0; What is the ratio AD:BD in simplest form?

Answer 1

Answer:

Consider the △ABC,△ADE

DE∣∣BC

⟹∠ADE=∠ABC

∠AED=∠ACB

∠DAE=∠BAC

So, the triangles are similar

⟹

ar(ΔADE)

ar(ΔABC)

=(

AD

AB

)

2

(AB=AD+DB=1+2=3cm)

⟹(

1

3

)

2

=9

So the Ratio is 9:1