Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 31° - 30°
= 119°
Сторона:
a = c·
= 50·
= 50·
= 50·0.5888
= 29.44
Сторона:
b = c·
= 50·
= 50·
= 50·0.5717
= 28.59
Периметр:
P = a + b + c
= 29.44 + 28.59 + 50
= 108.03
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√54.02·(54.02-29.44)·(54.02-28.59)·(54.02-50)
=√54.02 · 24.58 · 25.43 · 4.02
=√135740.32093176
= 368.43
Высота :
ha =
=
= 25.03
hb =
=
= 25.77
hc =
=
= 14.74