Решение:
Угол:
β° = 180 - γ° - α°
= 180 - 114° - 14°
= 52°
Сторона:
a = b·
= 417·
= 417·
= 417·0.307
= 128.02
Сторона:
c = b·
= 417·
= 417·
= 417·1.159
= 483.3
Периметр:
P = a + b + c
= 128.02 + 417 + 483.3
= 1028.3
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√514.16·(514.16-128.02)·(514.16-417)·(514.16-483.3)
=√514.16 · 386.14 · 97.16 · 30.86
=√595287148.81188
= 24398.5
Высота :
ha =
=
= 381.17
hb =
=
= 117.02
hc =
=
= 100.97