Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures.

Question

anonymous · Answer

|dw:1394995834145:dw| I understand this much

anonymous · Answer

CBD is proportionate to ACE

anonymous · Answer

And CB is similar to CA, CD is similar to CE

anonymous · Answer

Angle C is common to both of them so we have 3 condition satisfied for congruence and hence both triangle CBD and CAE are congruent and hence opp sides proportionate

anonymous · Answer

Hold on

anonymous · Answer

The three angles of the two triangles are equal to each other. Hence the two triangles are similar and therefore the corresponding sides are proportional