Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 48.46° - 34.5°
= 97.04°
Сторона:
a = c·
= 107.6·
= 107.6·
= 107.6·0.7542
= 81.15
Сторона:
b = c·
= 107.6·
= 107.6·
= 107.6·0.5707
= 61.41
Периметр:
P = a + b + c
= 81.15 + 61.41 + 107.6
= 250.16
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√125.08·(125.08-81.15)·(125.08-61.41)·(125.08-107.6)
=√125.08 · 43.93 · 63.67 · 17.48
=√6115406.830603
= 2472.9
Высота :
ha =
=
= 60.95
hb =
=
= 80.54
hc =
=
= 45.96