Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 38° - 42°
= 100°
Сторона:
a = c·
= 9·
= 9·
= 9·0.6252
= 5.627
Сторона:
b = c·
= 9·
= 9·
= 9·0.6794
= 6.115
Периметр:
P = a + b + c
= 5.627 + 6.115 + 9
= 20.74
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10.37·(10.37-5.627)·(10.37-6.115)·(10.37-9)
=√10.37 · 4.743 · 4.255 · 1.37
=√286.7160551085
= 16.93
Высота :
ha =
=
= 6.017
hb =
=
= 5.537
hc =
=
= 3.762