SOLUTION: I need some help with a proof. Given that AB||ED, determine if the triangles in the diagram are similar. ( one triangle is BC=14, AC=42,). (one other triangle is DC=63. EC=21).

Algebra ->  Geometry-proofs -> SOLUTION: I need some help with a proof. Given that AB||ED, determine if the triangles in the diagram are similar. ( one triangle is BC=14, AC=42,). (one other triangle is DC=63. EC=21).      Log On


   

Question 1020084: I need some help with a proof.
Given that AB||ED, determine if the triangles in the diagram are similar. ( one triangle is BC=14, AC=42,). (one other triangle is DC=63. EC=21). And yes the c intersects the line DA and BE.
Thank you!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This should be a rough approximation of the diagram you described.

.


Angle ABC congruent to angle DEC by opposite interior angles of a transversal of two parallel lines.

Angle CBA congruent to angle CDE by opposite interior

Angle ACB congruent to angle DCE by equality of vertical angles

So you really don't need the measures of the sides since the two triangles are similar by AAA. However, the corresponding sides are in proportion as further proof.



John

My calculator said it, I believe it, that settles it