Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 64.56°
Периметр:
P = a + b + c
= 188 + 184 + 167
= 539
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√269.5·(269.5-188)·(269.5-184)·(269.5-167)
=√269.5 · 81.5 · 85.5 · 102.5
=√192489195.9375
= 13874
hb =
=
= 150.8
hc =
=
= 166.16
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(64.56°))
= arcsin(0.9787·0.903)
= 62.1°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(64.56°))
= arcsin(0.8883·0.903)
= 53.33°