Решение:
Угол:
α° = arcsin(
sin(γ°))
= arcsin(
sin(90°))
= arcsin(0.6468·1)
= 40.3°
или:
α° = arccos(
)
= arccos(
10272+1346.592-870.962
2·1027·1346.59
)
= arccos(
1054729+1813304.6281-758571.3216
2765896
)
= 40.3°
Угол:
β° = arcsin(
sin(γ°))
= arcsin(
sin(90°))
= arcsin(0.7627·1)
= 49.7°
Периметр:
P = a + b + c
= 870.96 + 1027 + 1346.59
= 3244.6
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√1622.3·(1622.3-870.96)·(1622.3-1027)·(1622.3-1346.59)
=√1622.3 · 751.34 · 595.3 · 275.71
=√200058072183.18
= 447278.5
Высота :
ha =
=
= 1027.1
hb =
=
= 871.04
hc =
=
= 664.31