Решение:
Сторона:
a = b·
= 15·
= 15·
= 15·1
= 15
Угол:
γ° = 180 - α° - β°
= 180 - 45° - 45°
= 90°
Сторона:
c = √a2 + b2 - 2ab·cos(γ°)
= √152 + 152 - 2·15·15·cos(90°)
= √225 + 225 - 450·0
= √450
= 21.21
или:
c = a·
= 15·
= 15·
= 15·1.414
= 21.21
или:
c = b·
= 15·
= 15·
= 15·1.414
= 21.21
Высота :
hc = a·sin(β°)
= 15·sin(45°)
= 15·0.7071
= 10.61
Периметр:
P = a + b + c
= 15 + 15 + 21.21
= 51.21
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√25.61·(25.61-15)·(25.61-15)·(25.61-21.21)
=√25.61 · 10.61 · 10.61 · 4.4
=√12685.0745164
= 112.63
Высота :
ha =
=
= 15.02
hb =
=
= 15.02