Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 67.98°
Периметр:
P = a + b + c
= 8 + 8 + 6
= 22
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√11·(11-8)·(11-8)·(11-6)
=√11 · 3 · 3 · 5
=√495
= 22.25
Высота :
ha =
=
= 5.563
hb =
=
= 5.563
hc =
=
= 7.417
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(67.98°))
= arcsin(1·0.9271)
= 67.99°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(67.98°))
= arcsin(0.75·0.9271)
= 44.05°