Решение:
Угол:
γ° = 180 - α° - β°
= 180 - 45° - 45°
= 90°
Сторона:
a = c·
= 9·
= 9·
= 9·0.7071
= 6.364
Сторона:
b = c·
= 9·
= 9·
= 9·0.7071
= 6.364
Периметр:
P = a + b + c
= 6.364 + 6.364 + 9
= 21.73
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√10.86·(10.86-6.364)·(10.86-6.364)·(10.86-9)
=√10.86 · 4.496 · 4.496 · 1.86
=√408.3150375936
= 20.21
hb =
=
= 6.351
hc =
=
= 4.491