Points X and Y are on sides BC and CD of square ABCD,as shown in the f – InterviewSolution

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1.	Points X and Y are on sides BC and CD of square ABCD,as shown in the figure. The lengths of XY, AX and AY are 3,4 and 5 respectively.Then the side length of the square ABCD is :a. `15/sqrt7`b. `16/sqrt7`c. `13/sqrt7`d. none of these
Answer» AD=CD, AD=DY+CY `5Costheta=5sintheta+3cos(90+theta-phi)` `5costheta=5sintheta+3cos(theta+37)` `5costheta=5sintheta+3(4/5costheta=3/5sintheta)` `5costheta-12/5costheta=5sintheta=9/5sintheta` `13/5costheta=16/5sintheta` `tantheta=13/16` `costheta=16/20.6` `a=5costheta=(16*5)/20.6=3.88`.

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