Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 65° - 66°
= 49°
Сторона:
a = c·
= 5·
= 5·
= 5·1.201
= 6.005
Сторона:
b = c·
= 5·
= 5·
= 5·1.21
= 6.05
Периметр:
P = a + b + c
= 6.005 + 6.05 + 5
= 17.06
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√8.528·(8.528-6.005)·(8.528-6.05)·(8.528-5)
=√8.528 · 2.523 · 2.478 · 3.528
=√188.1023930473
= 13.72
Высота :
ha =
=
= 4.57
hb =
=
= 4.536
hc =
=
= 5.488