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In Triangle A B C ,B C=8,C A=6a n dA B=1...

In Triangle `A B C ,B C=8,C A=6a n dA B=10.` A line dividing the triangle `A B C` into regions of equal area is perpendicular to `A B` at point `Xdot` Find the value of `B X Isqrt(2)dot`

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y=xtanB
`2(xy)/2=(6*8)/2`
`xy=24`
`x*xtanB=24`
`x^2*3/4=24`
`x=4sqrt2`
`BX=x=4sqrt2`
Value of `(BX)/sqrt2=(4sqrt2)/sqrt2=4`.
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