Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 36° - 42°
= 102°
Сторона:
a = c·
= 9·
= 9·
= 9·0.601
= 5.409
Сторона:
b = c·
= 9·
= 9·
= 9·0.6841
= 6.157
Периметр:
P = a + b + c
= 5.409 + 6.157 + 9
= 20.57
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10.28·(10.28-5.409)·(10.28-6.157)·(10.28-9)
=√10.28 · 4.871 · 4.123 · 1.28
=√264.2618972672
= 16.26
Высота :
ha =
=
= 6.012
hb =
=
= 5.282
hc =
=
= 3.613