Question

Please help I don’t understand it would really mean a lot thank you need by October 31

Answer 1

Question 11:

∠ABC = ∠EDC = 90° (given)

∠ACB = ∠ECD (vertically opposite angles)

∴ Triangle ABC is similar to triangle ECD. (AA Similarity Test)

Question 12:

Since triangles ABC and ECD are similar,

`(BC)/(DC)` =
`(BA)/(DE)`

`(13.5)/(22.5)` =
`(9)/(DE)`

∴ DE = 9 ÷
`(13.5)/(22.5)`

= 15cm

∴ The length of DE is 15cm.