Решение:
Сторона:
c = √a2 + b2 - 2ab·cos(γ°)
= √62 + 62 - 2·6·6·cos(91°)
= √36 + 36 - 72·-0.01745
= √73.26
= 8.559
Угол:
α° = arcsin(
sin(γ°))
= arcsin(
sin(91°))
= arcsin(0.701·0.9998)
= 44.5°
или:
α° = arccos(
)
= arccos(
)
= arccos(
)
= 44.5°
Угол:
β° = arcsin(
sin(γ°))
= arcsin(
sin(91°))
= arcsin(0.701·0.9998)
= 44.5°
Периметр:
P = a + b + c
= 6 + 6 + 8.559
= 20.56
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10.28·(10.28-6)·(10.28-6)·(10.28-8.559)
=√10.28 · 4.28 · 4.28 · 1.721
=√324.086934592
= 18
Высота :
ha =
=
= 6
hb =
=
= 6
hc =
=
= 4.206