Question

Geometry math question no Guessing and Please show work

Answer 1

Let the central vertical line be y.

For the first triangle on the left,

sin60=y/11

√3/2=y/11

y=11√3/2

For the triangle on the right,

sin45 = y/x

x = y/sin45

x = (11√3/2)/(1/√2)

x = 11√3/√2

Rationalising,

x = 11√6/2

So, answer is option C.