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ABC is a right angles triangle at B. The...

ABC is a right angles triangle at B. The hypotenuse AC is four times the perpendicular BD drawn to it from the opposite vertex and AD

Text Solution

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`tantheta=(BD)/(AD)=(DC)/(BD)`
`x/y=(4x-y)/x`
`x^2=4xy-y^2`
`y^2-4xy+x^2=0`
`y=((4pmsqrt12)/2)x`
`=(2pmsqrt3)x`
`y=AD=(2-sqrt3)x`
`AB^2=x^2[8-4sqrt3]`
...
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