Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 94.94°
Периметр:
P = a + b + c
= 4 + 3 + 2.4
= 9.4
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√4.7·(4.7-4)·(4.7-3)·(4.7-2.4)
=√4.7 · 0.7 · 1.7 · 2.3
=√12.8639
= 3.587
Высота :
ha =
=
= 1.794
hb =
=
= 2.391
hc =
=
= 2.989
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(94.94°))
= arcsin(0.75·0.9963)
= 48.35°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(94.94°))
= arcsin(0.6·0.9963)
= 36.71°