Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 42° - 42°
= 96°
Сторона:
a = c·
= 9·
= 9·
= 9·0.6728
= 6.055
Сторона:
b = c·
= 9·
= 9·
= 9·0.6728
= 6.055
Периметр:
P = a + b + c
= 6.055 + 6.055 + 9
= 21.11
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10.56·(10.56-6.055)·(10.56-6.055)·(10.56-9)
=√10.56 · 4.505 · 4.505 · 1.56
=√334.33212384
= 18.28
Высота :
ha =
=
= 6.038
hb =
=
= 6.038
hc =
=
= 4.062