area of rhombus with one of the diagonals measuring (x-y-3) units is (2xy-x²-y²+9)sq.units. find the length of the other diagonal
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Answer:
2(-x+y-3)
Step-by-step explanation:
area of diagonal = d¹×d²/2
let the 2nd diagonal be a
(x-y-3)×a/2=2xy-x²-y²+9
(x-y-3)×a/2 = - {(-2xy+x²+y²-9)}
= -{(x-y)²-3²}
= -{( x-y-3)(x-y+3)}
=(x-y-3)-(x-y+3)
= (x-y-3)(-x+y-3)
a = 2(-x+y-3)
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