Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 28.955° - 37.775°
= 113.27°
Сторона:
a = c·
= 6·
= 6·
= 6·0.5269
= 3.161
Сторона:
b = c·
= 6·
= 6·
= 6·0.6668
= 4.001
Периметр:
P = a + b + c
= 3.161 + 4.001 + 6
= 13.16
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√6.581·(6.581-3.161)·(6.581-4.001)·(6.581-6)
=√6.581 · 3.42 · 2.58 · 0.581
=√33.7375728396
= 5.808
Высота :
ha =
=
= 3.675
hb =
=
= 2.903
hc =
=
= 1.936