Question 178287
let x=length of CX


triangle AXB is isosceles


by Pythagoras, 6^2 + x^2 = (8-x)^2


36 + x^2 = 64 -16x + x^2


subtracting x^2 __ 36 = 64 - 16x


adding 16x-36 __ 16x = 28


dividing by 16  __  x = 1.75