Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
986049+276676-1071225
1044636
)
= 79.44°
Периметр:
P = a + b + c
= 1035 + 993 + 526
= 2554
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√1277·(1277-1035)·(1277-993)·(1277-526)
=√1277 · 242 · 284 · 751
=√65912007656
= 256733.3
Высота :
ha =
=
= 496.1
hb =
=
= 517.09
hc =
=
= 976.17
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(79.44°))
= arcsin(0.9594·0.9831)
= 70.59°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(79.44°))
= arcsin(0.5082·0.9831)
= 29.97°