Similar Triangles: Analyzing the Relationship Between Triangle EDB and ABC

Question

Triangle EDB is similar to triangle ABC.

Choose the correct answer.

00:00 Choose the appropriate answer

00:03 The triangles are similar according to the given

00:08 According to the similarity ratio, we have pairs of corresponding sides

00:11 We'll go from each point to the next point to find the side

00:27 And this is the solution to the question

The key property of similar triangles is that the ratios of the lengths of their corresponding sides are equal. For triangles EDB and ABC:

Triangle EDB is similar to triangle ABC, meaning:
Corresponding sides are proportional: $\frac{AB}{BE} = \frac{BC}{DB} = \frac{AC}{ED}$

Therefore, the correct relationship among the sides, using the concept of similar triangles, is:

$\frac{BC}{DB} = \frac{AB}{BE} = \frac{AC}{ED}$

This matches choice 3.

Thus, the correct answer to the problem is $\frac{BC}{DB}=\frac{AB}{BE}=\frac{AC}{ED}$ .

$\frac{BC}{DB}=\frac{AB}{BE}=\frac{AC}{ED}$