Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 30° - 45°
= 105°
Сторона:
a = c·
= 2500·
= 2500·
= 2500·0.5177
= 1294.3
Сторона:
b = c·
= 2500·
= 2500·
= 2500·0.7321
= 1830.3
Периметр:
P = a + b + c
= 1294.3 + 1830.3 + 2500
= 5624.6
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√2812.3·(2812.3-1294.3)·(2812.3-1830.3)·(2812.3-2500)
=√2812.3 · 1518 · 982 · 312.3
=√1309232840252
= 1144217
hb =
=
= 1250.3
hc =
=
= 915.37