hello can you tell me if I have done this question correctly

I split the triangle in 2 to get a right angled triangle

(so lenght of adjacent split in two+1.15)

so then I got sin 34(degrees) x 1.15 = 0.776

so 1.15^2 + 0.776^2= hypothenuse^2

so a (or b as both sides of triangle are the same) = 1.4

a=1.4

b=1.4

Drawing attached

could you tell me where I am wrong if I am