Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 109.47°
Периметр:
P = a + b + c
= 9 + 6 + 5
= 20
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10·(10-9)·(10-6)·(10-5)
=√10 · 1 · 4 · 5
=√200
= 14.14
Высота :
ha =
=
= 3.142
hb =
=
= 4.713
hc =
=
= 5.656
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(109.47°))
= arcsin(0.6667·0.9428)
= 38.94°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(109.47°))
= arcsin(0.5556·0.9428)
= 31.59°