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`

Explanation

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`.