Question

pls ,dau coroană ........​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

AB = 6 cm; AC = 8 cm

BC^2 = AB^2 + AC^2 = 36 + 64 = 100

BC = 10 cm

sin C = AB/BC = 6/10 = 3/5

cos C = AC/BC = 8/10 = 4/5

tg B = AC/AB = 8/6 = 4/3

ctg B = AB/AC = 6/8 = 3/4

_______________

b)

AB = 4 cm; BC = 8 cm

AC^2 = BC^2 - AB^2 = 64 - 16 = 48

AC = 4√3 cm

sin B = AC/BC = 4√3/8 = √3/2

cos B = AB/BC = 4/8 = 1/2

tg C = AB/AC = 4/4√3 = 1/√3 = √3/3

ctg C = AC/AB = 4√3/4 = √3

_________________

c)

BC = 24 cm

sin C = 5/6

sin C = AB/BC

AB = BC sin C = 24*5/6 = 20 cm

AC^2 = BC^2 - AB^2 = 576 - 400 = 176

AC = √176 = 4√11 cm

sin C = 5/6 (este deja dat in problema)

ctg B = AC/AB = 4√11/20 = √11/5