Решение:
Сторона:
c = a·
= 79.49·
= 79.49·
= 79.49·0.2417
= 19.21
Угол:
β° = 180 - γ° - α°
= 180 - 13.75° - 79.53°
= 86.72°
Сторона:
b = √a2 + c2 - 2ac·cos(β°)
= √79.492 + 19.212 - 2·79.49·19.21·cos(86.72°)
= √6318.7 + 369.02 - 3054·0.05722
= √6513
= 80.7
или:
b = a·
= 79.49·
= 79.49·
= 79.49·1.015
= 80.68
или:
b = c·
= 19.21·
= 19.21·
= 19.21·4.2
= 80.68
Высота :
hc = a·sin(β°)
= 79.49·sin(86.72°)
= 79.49·0.9984
= 79.36
Периметр:
P = a + b + c
= 79.49 + 80.68 + 19.21
= 179.38
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√89.69·(89.69-79.49)·(89.69-80.68)·(89.69-19.21)
=√89.69 · 10.2 · 9.01 · 70.48
=√580944.8179824
= 762.2
Высота :
ha =
=
= 19.18
hb =
=
= 18.89