Question

For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.​

Answer 1

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

Understanding Basic proportionality theorem(Thale's Theorem)

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; brainly.com/question/14417137