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If A(-2,-1),B(x,0),C(4,y)and D(1,2) are the vertices …

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If A(-2,-1),B(x,0),C(4,y)and D(1,2) are the vertices of a parallelogram taken in order.find x and y and diagonals
  • 2 answers
ar(abcd)=ar(DBC)+ar(dab) ar(DBC) 1/2(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)) 1/2(1(1-2)+(4(2-0)+1(0-1)) 1/2(-1+8-1) 1/2(6) 3 squnits ar (dab) 1/2 (1(-1-2)+-2(2-0)+1(0-(-1)) 1/2 (-3-4+1) 1/2 (-7+1) 1/2 (-6) 3 squnits ar (abcd) =3 + 3= 6 squnits   Ok ???????????????????????????????

Gaurav Seth 5 years, 1 month ago

ar(abcd)=ar(DBC)+ar(dab)

ar(DBC)
1/2(x1(y2-y3)+x2(y3-y1)+x3(y1-y2))
1/2(1(1-2)+(4(2-0)+1(0-1))
1/2(-1+8-1)
1/2(6)
3 squnits

ar (dab)
1/2 (1(-1-2)+-2(2-0)+1(0-(-1))
1/2 (-3-4+1)
1/2 (-7+1)
1/2 (-6)
3 squnits

ar (abcd) =3 + 3= 6 squnits
 

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