Q. 5 A4.3( 6 Votes )

<span lang="EN-US

Answer :

Given: A Δ ABC in which DE||BC, and intersect AB in D and AC in E.


Prove:


Construction: Join BE, CD and draw EF BA and DGCA.



Proof:


Area ∆ADE ==


Area ∆DBE = =



Similarly,



ΔDBE and ΔDEC are on the same base DE and b\w the same parallel DE and BC.


Area (Δ DBE) = Area (ΔDEC)


[Taking reciprocal of both sides]


[Multiplying both sides by Area (Δ ADE)]



Hence Proved.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers

<span lang="EN-USMaharashtra Board - Geometry Papers