the figure shows a pentagon ABCDE is drawn parallel to DJ mix BA produced at ji and CF draw parallel to DB meet Savi produced at F show the area of Pentagon ABCDE barabar area dgf.
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Hey buddy here is ur half solution
Lets concentrate on the quadrilateral ADEG.
let the intersection of AE and DB be K
GE || AD (given)
So triangles ADE and ADG have the same base AD and the same height , since parallel lines are equal distances apart.
So triangle ADE = triangle ADG
but ADK is common to both, so subtracting ...
triangle AKG = triangle DEK
similarly by letting FD and BC intersect at L we can show that triangle FLB = triangle CDL
pentagon ABCDE
= triangle BLD + triangle LCD + triangle ABD + triangle DEK + triangle ADK
= triangle BLD + triangle FLB + triangle ABD + triangle GAK + triangle ADk
= triangle FDG .
plz solve by own
Lets concentrate on the quadrilateral ADEG.
let the intersection of AE and DB be K
GE || AD (given)
So triangles ADE and ADG have the same base AD and the same height , since parallel lines are equal distances apart.
So triangle ADE = triangle ADG
but ADK is common to both, so subtracting ...
triangle AKG = triangle DEK
similarly by letting FD and BC intersect at L we can show that triangle FLB = triangle CDL
pentagon ABCDE
= triangle BLD + triangle LCD + triangle ABD + triangle DEK + triangle ADK
= triangle BLD + triangle FLB + triangle ABD + triangle GAK + triangle ADk
= triangle FDG .
plz solve by own
Answered by
3
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hope this answer useful to you mate
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