Sinussatz
Erklärung: A! = Dreiecksfläche
1 a) ! =96040 ; " b=125.8 cm ; c=130,8 cm A# =1499.8 cm2
b) ! =1200 ; a=24,5 cm ; b=12,3 cm A" =130,1 cm2
c) ! =7809 5" 4 ; " " c=49,81 m ; #=27030 " 6 " " A$ =563,5 m2
d) !=33055 " 9 ; #" " =133029 5" 1 ; " " c=37,96 dm A$ =120,74 dm2
e) b=55 cm ; !=44055 4" 0 ; " " #=39052 " 6 ; " " $=95012 1" 4 " " A% =687,5 cm2
f) c=5,3 m ; b=6,0 m ; !=12036 " 8 ; " " #=14013 5" 2 ; " " A$ =7,19 m2
g) ! =550 ; " =38039 3# 6 ; ## $ =86020 2# 5 ##
a=6, 4 cm ; b=4, 88 cm; c=7, 8 cm ; A! =15, 6 cm2
h) ! =38026 2" 7 ; " " c=80,9 cm ; #=94043 3" 4 ; b" " =129,7 cm ; A$ =3825,3 cm2
i) ! =16040 2" 2 ; #"" =14009 3" 8 ""
a=39, 73 cm ; b=64, 7 cm ; c=28, 98 cm ; A! =368, 8 cm2
k) !=64038 " 4 ; " " #=59021 5" 6 ; " " a=4,8 dm ; b=4,6 dm ; c =4,4 cm ; A$ =9,14 dm2
l) ! =12409 6" 0 ; " " #=19021 2" 1 ; " " a=86.1 cm ; c =119.83 cm ; A$ =1709.8 cm2
m) !=42031 ; " a=7.42 m ; b=5.09 m ; c=6,3 m ; A# =15,87 m2
Bestimme die Fläche des Dreiecks
2 a) F! =94, 59 cm2 b)F! =2777, 86 m2 c) F! =22, 312 cm2
Kosinussatz
3
a) a=105, 94 cm ; ! =6604 5" 1 ; " " # =32045 " 9 ; " " A$ =2808,3 cm2
b) b=29, 03 m ; ! =54055 4" 9 ; " " # =80044 1" 1 ; " " A$ =487, 09 m2
c) c=27, 67 dm ; ! =35024 5" 8 ; " " # =31045 " 2 ; " " A$ =126, 7 dm2
d) ! =44042 5" 4 ; #" " =36027 " 3 ; " " $ =98050 " 4 ; " " A% =84485,5 mm2
e) a=83,4 cm ; c=39,9 cm ; ! =149016 5" 2 ; " " #=16033 " 8 ; " " A$ =474, 4 cm2
f) c=31, 6 m ; ! =118030 1" 4 ; b"" =53,1 m
! =29059 4" 2 ; "" # =31030"5 ; A"" $ =418, 86 m2
g) !=18055 2" 7 ; " " # =23014 3" 3 ; " " a=649, 94 m ; c=382, 07 m ; A$ =40267, 48 m2
h) a=1.32 cm ; c=4.58 cm ; ! =14026 5" 3 ; " " #=105053 " 7 ; " " A$ =2, 9 cm2
4
a) !=80010 ; " e=44, 38 cm ; f =49, 56 cm ; A# =701,2 cm2
b) !=108020 ; " e=31,32 cm ; f =23,28 cm ; A# =331,11 cm2
c) !=105026 3" 1 ; #" " =74033 2" 9 ; " " f =6, 97 m ; A$ =30, 97 m2
d) b=67, 91 dm ; ! =40057 10 ; " #=13902 50 ; " A$ =4139,6 dm2
5
a) ! =98030 ; " e=44 cm ; f =26, 2 cm ; d =42, 7 cm ; A# =575, 5 cm2
b) unmöglich