B = 68°24'36", C = 54°13'48", b = 12.57

Answer 1

Here is a little trick if your calculator has a key looking something like D°M'S
you can key in the traditional "degree-minute-second" notation directly and do arithmetic
e.g
to enter
B = 68°24'36"
press 68
D°M'S
24D°M'S
36
=
it should show: 68°24'36.00
change it to a standard decimal notation by pressing
2ndF and then D°M'S
I get B = 68.41° and C = 54.23°

ok then ...

we know angle A = 57.36°

Now we can find the other two sides using the sine law.
e.g. BC/sin57.36 = 12.57/sin68.41
BC = 12.57sin57.36/sin68.41
= 11.38

find AB in the same way

Answer 2

reiny am i dooing it right ??
AB = 12.57(sin 54.23)/sin 57.36
= 12.11

Answer 3

I don't think so,

AB/sinC = 12.57/sinB
AB = 12.57sin54.23/sin68.41