Please show your work and answer the question in
complete sentences.
Show your calculation below:

The length of DE is
(1) 15
(2) 24
لام
(3) 25
(4) 30
So your answer is
What is the relation between ACDE and ACAB?
What information in the question helps you get that
conclusion?

Step-by-step explanation:

Since DE is parallel to AB, it means that Triangle CDE is similar to triangle CAB. This means that the ratio of the length of each side of ∆CDE to the length of the corresponding side of ∆CAB is constant. Therefore,

AB/DE = DC/CA

Therefore,

DE/40 = 15/24

Cross multiplying, it becomes

24DE = 40 × 15

24DE = 600

Dividing the left hand side and the right hand side of the equation by 24, it becomes

24DE/24 = 600/24

DE = 25

The relationship between triangle CDE and triangle CAB is similar triangles. This is because CD is parallel to AB as given.