Question

Prove that Triangle abc and Triangle edc are similar

Answer 1

The corresponding sides have equal ratios, so the triangles are similar triangles.

From the question, we have:

In triangle ABC, AB = 3, BC = 5 and AC = 4

In triangle EDC, ED = 9, DC = 15 and EC = 12

For the triangles to be similar, then the corresponding sides must have an equivalent ratio.

This is calculated as:

$\mathbf{Ratio = \frac{ED}{AB} = \frac{DC}{BC} = \frac{EC}{AC}}$

So, we have:

$\mathbf{Ratio = \frac{9}{3} = \frac{15}{5} = \frac{12}{4}}$

$\mathbf{Ratio =3 = 3 = 3}$

$\mathbf{Ratio =3}$

Because the corresponding sides have equal ratios, then the triangles are similar.

Read more about similar triangles at:

https://brainly.com/question/19738610