Maths / Areas Of Parallelograms And Triangles / Figures on the Same Base and Between the Same Parallels

QUESTION
 
In the given figure, if large dpi{110}l left | right |m,^{} then which of the following realtionship is true?
OPTIONS
A. 

ar(DeltaABD)=ar(DeltaACE)

B. 

ar(DeltaABE)=2ar(Delta ADE)

C. 

ar(Delta ABD)=2ar(Delta AED)

D. 

ar(Delta ABC)=ar(Delta ABE)+ar(Delta ACD-ar(Delta ADE)

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

As large Delta ABE); and ;Delta ACD ;have; a ;common ;Delta ADE

so the area of triangle ADE is subtracted

ar(Delta ABC)=ar(Delta ABE)+ar(Delta ACD-ar(Delta ADE)

 

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