Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 35° - 33°
= 112°
Сторона:
a = c·
= 30·
= 30·
= 30·0.6186
= 18.56
Сторона:
b = c·
= 30·
= 30·
= 30·0.5874
= 17.62
Периметр:
P = a + b + c
= 18.56 + 17.62 + 30
= 66.18
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√33.09·(33.09-18.56)·(33.09-17.62)·(33.09-30)
=√33.09 · 14.53 · 15.47 · 3.09
=√22983.23589471
= 151.6
Высота :
ha =
=
= 16.34
hb =
=
= 17.21
hc =
=
= 10.11