area of △ABC=49+4+9+28+42+12=144
What is parallelogram ?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal
DE is parallel to AC
FG is parallel to BC
IH is parallel to AB
△PIE=49
△PDF=4
△PGH=9
△PGH≅△PIE
HP:PI= [tex]\sqrt{9\\}[/tex]: [tex]\sqrt{49\\}[/tex]
=3:7
so, IP:IH=7:10
△PIE:△HIC=7²:10 ²
area of △HIC=100
area of parallelogram PGCE=100−9−49=42
similarly,
are of parallelogram PIBF=( 4 + 49 )² −4−49
=81−53=28
are of parallelogram PDAH=( 4+ 9)²−4−9
=25−13=12
area of △ABC=49+4+9+28+42+12=144
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