Решение:
Сторона:
a = √b2 + c2 - 2bc·cos(α°)
= √17002 + 75002 - 2·1700·7500·cos(90°)
= √2890000 + 56250000 - 25500000·0
= √59140000
= 7690.3
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(90°))
= arcsin(0.2211·1)
= 12.77°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(90°))
= arcsin(0.9753·1)
= 77.24°
Периметр:
P = a + b + c
= 7690.3 + 1700 + 7500
= 16890.3
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√8445.2·(8445.2-7690.3)·(8445.2-1700)·(8445.2-7500)
=√8445.2 · 754.9 · 6745.2 · 945.2
=√40646008973485
= 6375422
Высота :
ha =
=
= 1658
hb =
=
= 7500.5
hc =
=
= 1700.1