Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 51.87°
Периметр:
P = a + b + c
= 150 + 190 + 130
= 470
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√235·(235-150)·(235-190)·(235-130)
=√235 · 85 · 45 · 105
=√94381875
= 9715
Высота :
ha =
=
= 129.53
hb =
=
= 102.26
hc =
=
= 149.46
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(51.87°))
= arcsin(1.267·0.7866)
= 85.29°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(51.87°))
= arcsin(0.8667·0.7866)
= 42.98°