Решение:
Сторона:
c = √a2 + b2 - 2ab·cos(γ°)
= √1002 + 1002 - 2·100·100·cos(90°)
= √10000 + 10000 - 20000·0
= √20000
= 141.42
или:
c = a·
= 100·
= 100·
= 100·1.414
= 141.4
или:
c = b·
= 100·
= 100·
= 100·1.414
= 141.4
Высота :
hc = a·sin(β°)
= 100·sin(45°)
= 100·0.7071
= 70.71
Периметр:
P = a + b + c
= 100 + 100 + 141.4
= 341.4
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√170.7·(170.7-100)·(170.7-100)·(170.7-141.4)
=√170.7 · 70.7 · 70.7 · 29.3
=√24999997.7199
= 5000
hb =
=
= 100