Решение:
Сторона:
a = √b2 + c2 - 2bc·cos(α°)
= √10.62 + 8.62 - 2·10.6·8.6·cos(90°)
= √112.36 + 73.96 - 182.32·0
= √186.32
= 13.65
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(90°))
= arcsin(0.7766·1)
= 50.95°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(90°))
= arcsin(0.63·1)
= 39.05°
Периметр:
P = a + b + c
= 13.65 + 10.6 + 8.6
= 32.85
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√16.43·(16.43-13.65)·(16.43-10.6)·(16.43-8.6)
=√16.43 · 2.78 · 5.83 · 7.83
=√2085.03176706
= 45.66
Высота :
ha =
=
= 6.69
hb =
=
= 8.615
hc =
=
= 10.62