Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 34° - 33°
= 113°
Сторона:
a = c·
= 30·
= 30·
= 30·0.6075
= 18.23
Сторона:
b = c·
= 30·
= 30·
= 30·0.5916
= 17.75
Периметр:
P = a + b + c
= 18.23 + 17.75 + 30
= 65.98
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√32.99·(32.99-18.23)·(32.99-17.75)·(32.99-30)
=√32.99 · 14.76 · 15.24 · 2.99
=√22188.34083024
= 148.96
Высота :
ha =
=
= 16.34
hb =
=
= 16.78
hc =
=
= 9.931