AD slope =(y- 1)/(x- 1)
AD//BC, then (y-1)/(x-1) =-1/2.
2y+x-3=0
(2)
AC slope =0, BD slope =((y-2)/(x-7).
AC⊥BD must be x=7.
Bring 1
2y+7-3=0
y=-2
In a word, x = 7 and y =-2.
Vector BC={2,-1}, CD={-2, -3}
|BC|= root number 5, |CD|= root number 13.
BC. CD = 2×(-2)+(- 1)×(-3)=- 1
Bc, cosine of CD angle = BC, CD/| BC | | CD | =- 1/ root sign (65)