Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 33° - 33°
= 114°
Сторона:
a = c·
= 33·
= 33·
= 33·0.5962
= 19.67
Сторона:
b = c·
= 33·
= 33·
= 33·0.5962
= 19.67
Периметр:
P = a + b + c
= 19.67 + 19.67 + 33
= 72.34
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√36.17·(36.17-19.67)·(36.17-19.67)·(36.17-33)
=√36.17 · 16.5 · 16.5 · 3.17
=√31215.885525
= 176.68
Высота :
ha =
=
= 17.96
hb =
=
= 17.96
hc =
=
= 10.71