Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 75.52°
Периметр:
P = a + b + c
= 3 + 3 + 1.5
= 7.5
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√3.75·(3.75-3)·(3.75-3)·(3.75-1.5)
=√3.75 · 0.75 · 0.75 · 2.25
=√4.74609375
= 2.179
Высота :
ha =
=
= 1.453
hb =
=
= 1.453
hc =
=
= 2.905
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(75.52°))
= arcsin(1·0.9682)
= 75.51°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(75.52°))
= arcsin(0.5·0.9682)
= 28.95°