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3 years ago

Please show your work and answer the question in

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

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.

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