Prove AB=2CE | Geometry Problem

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Homework Help Overview

The problem involves proving the relationship AB=2CE in a geometric context where line AC is parallel to line DE. The original poster seeks assistance in establishing this proof based on the given angles in the figure.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss calculating angles in triangle CDE in relation to angle BAC and suggest using the sine formula to connect the lengths CE and CD. There is also a consideration of how the variability of angle BAC affects the angles in triangle CDE.

Discussion Status

The discussion is ongoing, with participants exploring relationships between angles and sides. Some guidance has been offered regarding the use of the sine formula, and there is recognition of the interdependence of the angles involved.

Contextual Notes

Participants note that angle BAC can vary, which may influence the relationships being examined in triangle CDE. The original poster's request is framed within the constraints of a geometry problem that requires proof.

rushikesh
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In the figure attached, I have to prove AB=2CE given that: line AC is parallel to DE and angles as mentioned in the figure. Can anyone please help me to prove the same?
 

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Calculate angles of the triangle ##CDE## in terms of ##\angle BAC## Then use the sine formula to relate ##|CE|## to ##|CD|##
 
∠BAC can vary and so will the angles of the Triangle CDE
 
rushikesh said:
∠BAC can vary and so will the angles of the Triangle CDE

They can. But they're related, so you can express one in terms of the other.
 

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