Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 108.86° - 66.97°
= 4.17°
Сторона:
a = c·
= 158.8·
= 158.8·
= 158.8·13.01
= 2066
Сторона:
b = c·
= 158.8·
= 158.8·
= 158.8·12.66
= 2010.4
Периметр:
P = a + b + c
= 2066 + 2010.4 + 158.8
= 4235.2
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√2117.6·(2117.6-2066)·(2117.6-2010.4)·(2117.6-158.8)
=√2117.6 · 51.6 · 107.2 · 1958.8
=√22944495377.818
= 151474.4
Высота :
ha =
=
= 146.64
hb =
=
= 150.69
hc =
=
= 1907.7