solve for triangle. Show work

Question

c= 13, β=54, y= 90 degrees

solve for A,a,b

Answer 1

angle A = 36

angle B = 54

angle C = 90

c = 13

sin 36 = a/13

13 * sin 36 = a

the shorter side is APPROXIMATELY

a=7.6412082798021506791931774103079...

sin 54 = b/13

13*sin 54 = b

the longer side is APPROXIMATELY

b=10.517220926874316513329814423377

Pythagorean verifies the answers