Решение:
Угол:
α° = arccos(
)
= arccos(
)
= arccos(
722500+422500-1322500
1105000
)
= 99.24°
Периметр:
P = a + b + c
= 1150 + 850 + 650
= 2650
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√1325·(1325-1150)·(1325-850)·(1325-650)
=√1325 · 175 · 475 · 675
=√74344921875
= 272662.7
Высота :
ha =
=
= 474.2
hb =
=
= 641.56
hc =
=
= 838.96
Угол:
β° = arcsin(
sin(α°))
= arcsin(
sin(99.24°))
= arcsin(0.7391·0.987)
= 46.84°
Угол:
γ° = arcsin(
sin(α°))
= arcsin(
sin(99.24°))
= arcsin(0.5652·0.987)
= 33.91°