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Points X and Y are on sides BC and CD of...

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

Text Solution

Verified by Experts

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`
...
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