Question

Show your calculation below:

In the diagram of AABC below, DE is parallel to AB, CD = 15,
AD = 9, and AB = 40.
The length of DE is
(1) 15
(2) 24
(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?

Answer 1

DE=25

Angles CDE & CAB are equal since they are alternate angles.

Explanation:

Triangle CDE is an reduction of triangle CAB.

Reduction Ratio=
`(15)/(24)\\</p><p>length \ DE=(15)/(24)*40\\</p><p>=40</p><p>`

Angles CDE,CAB relationship- the two angles fall on opposite relative sides of two parallel lines are therefore equal.