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Question


In the given equilateral triangle, the smaller circle and the bigger semi circle are inscribed inside. What is the value of  XY


In The Given Equilateral Triangle, The Smaller Circle And Th...


Options:
A .   3
B .   2
C .   4
D .   4.5
E .   111m
Answer: Option A
:
A

Line PV bisects line QR. ΔPST and  ΔTUV are similar.


 Hence ZY+X=YX=Y;YZ=XYX+Y;


but in ΔPST, YZ = sin 30 = 12


In The Given Equilateral Triangle, The Smaller Circle And Th...


  Hence (12) = XYX+Y;XY=3



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