Step-by-step explanation:
with 45 45 90 triangles which is what ACB is. the hypotenuse can be equalized with [tex]x\sqrt{2}[/tex] and the two legs have a length of x
so the side length for AB and BC is 6.
and since Triangle BCD is a 30 60 90 triangle.
the side lengths that would be corresponding would have the ratio of
x, [tex]x\sqrt{3}[/tex], and 2x
so if 2x=6 x=3
then the value for x or BD is 3
Hope that helps :)
