Answer:
BT should equal 8
Proof:
Triangle CDT is a 45 45 90 triangle.
The leg of the triangle = base * (1 / sqr root (2))
The leg of the triangle = 11.3 * (1 / 1.4142135624 )
The leg of the triangle = 11.3 * 0.7071067812
CT = BT = 11.3 * .7071067812 = 8
Explanation: