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Grade 8Algebra

lET a(Z1), b (Z2), c(Z3) , AND d(Z4) be the vertices of a trapezium in an argand plane. Let |z1-z2|-4 and |z3-z4|=10 and diangonals ac and bd intersect at p. It is given that arg(z4-z3/z3-z1)=pi/2 and arg(z3-z2/z4-z1)=pi/4.
Find the area of trapezium ABCD.
Ans>> 140/3

Profile image of ddsf
11 Years agoGrade 8
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3 Answers

Profile image of Jee
11 Years ago
Is this question so tough to answer? Its been 5 days
its my doubt also...
Profile image of Prashmitha
6 Years ago
triangle abp and triangle cdp are similar,
   if ap=2x,bp=2y
then cp=5x,dp=5y
.: area of ABCD =(49xy)/2
tan alpha=2x/5y,tan beta=2y/2x also alpha+beta=45
xy=(10/21)x^2+y^2
also,ab^2=ap^2+bp^2
       x^2+y^2=4
        xy=40/21
.: area of trapezium=(49/2)(40/21)=140/3
 
Profile image of Vikas TU
6 Years ago
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