12.1
A harmadik szög:
`gamma = 180-35-44 = 101°`

Szinusztétel:
`a/c = sin alpha/sin gamma => a = (c sin alpha)/sin gamma = (10 sin 35°)/(sin 101°) ~~ "5,843 cm"`

`b/c = sin beta/sin gamma => b = (c sin beta)/sin gamma = (10 sin 44°)/(sin 101°) ~~ "7,077 cm"`

12.2
A harmadik szög:
`beta = 180-20-126 = 34°`

Szinusztétel:
`b/a = (sin beta)/(sin alpha) => b = (12 sin 34°)/(sin 20°) ~~ "19,620 cm"`

`c/a = (sin gamma)/(sin alpha) => c = (12 sin 126°)/(sin 20°) ~~ "28,385 cm"`

12.3
Itt rossz a rajz. A `b="7 cm"` és az `a="4 cm"`!

Szinusztétel:
`sin alpha/sin beta = a/b => alpha = sin^"-1"((a sin beta)/b) = sin^"-1"((4 sin 63°)/7) ~~ "30,607°"`

A harmadik szög:
`gamma = 180-alpha-beta ~~ 180-"30,607"-63 = "86,393°"`

Szinusztétel:
`c/b = sin gamma/sin beta => c = (b sin gamma)/sin beta ~~ (7 sin "86,393°")/(sin 63°) = "7,841 cm"`

12.4
A harmadik szög:
`180-"86,5"-"79,3" = "14,2°"`

Szinusztétel:
`x/120 = sin "79,3°"/sin "14,2°" => x = (120 sin "79,3°")/sin "14,2°" ~~ "480,677 m"`