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Mathematics 8 Online
OpenStudy (anonymous):

ABCDE is a pentagon.A line through B II to AC meets DC produced at F.Show that:- (i)ar(ACB)=ar(ACF) (ii)ar(AEDF)=ar(ABCDE)

OpenStudy (anonymous):

answer ma question plzzzzzzzzzzz

Directrix (directrix):

Sorry -- I don't know what "ar" as in "ar(ACB)" means. Also, I am uncertain about "produced at F." Line AC intersected line CD at point C when I drew the diagram.

OpenStudy (mridul):

ar(ACB) means area of triangle ACB

OpenStudy (anonymous):

ya

OpenStudy (mridul):

the distance between two parallel lines remains constant at every point...... so the hieght of triangles ACB and ACF is same.... and the base is common.... so the area 1/2 * AC * hieght is same.....

OpenStudy (anonymous):

will u show me the figure

OpenStudy (mridul):

|dw:1329742406732:dw|

OpenStudy (mridul):

BF and AC are parallel... got it ???

OpenStudy (anonymous):

ya

OpenStudy (mridul):

understood 1st part???

OpenStudy (anonymous):

ya

OpenStudy (mridul):

now for the second part.....

OpenStudy (anonymous):

k

OpenStudy (mridul):

the area of pentagon ABCDE = ar(ACDE) + ar(ABC) but in 1st part we proved that ar(ABC)=ar(ACF) so ar(ABCDE) = ar(ACDE) + ar(ACF) = ar(AFDE)

OpenStudy (mridul):

this is an NCERT question of class 9th i suppose

OpenStudy (anonymous):

ya

OpenStudy (mridul):

then for the first part.... Area of triangles is same if they lie on the same base and between parallel lines....... THEorum

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

wch class r u

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