Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 91.23°
Периметр:
P = a + b + c
= 2.17 + 0.8 + 2
= 4.97
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√2.485·(2.485-2.17)·(2.485-0.8)·(2.485-2)
=√2.485 · 0.315 · 1.685 · 0.485
=√0.639703299375
= 0.7998
Высота :
ha =
=
= 0.7371
hb =
=
= 2
hc =
=
= 0.7998
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(91.23°))
= arcsin(0.3687·0.9998)
= 21.63°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(91.23°))
= arcsin(0.9217·0.9998)
= 67.15°