Втреугольнике авс через точку пересечения медиан проведена прямая, параллельная вс, пересекающая стороны ас и аb в точках к и d соответственно. найдите кd, если св=15 см. найдите отношение площадей треугольников авс и аdк.
2) Площадь по формуле Герона. S = √(p(p-a)(p-b)(p-c). Подставив данные, получаем: Треугольник АВС a(ВС) b(АС) c(АВ) p 2p S 6,4807 10,7703 6,4807 11,8659 23,7318 19,4165 cos A = 0,830949 cos B = -0,3809523 cos С = 0,830949 Аrad = 0,5899851 Brad = 1,961622457 Сrad = 0,5899851 Аgr = 33,8036561 Bgr = 112,3926878 Сgr = 33,803656/ Площадь равна 19,4165 кв.ед.
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Объяснение:
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Координаты т. А Координаты т. В Координаты т. С
ax ay az bx by bz cx cy cz
3 -1 2 -1 4 1 -5 3 -4.
1) Расстояние между точками.
d = v ((х2 - х1 )² + (у2 - у1 )² + (z2 – z1 )²)
АВ ВС АС Периметр Полупериметр
42 42 116 квадрат
6,4807 6,4807 10,7703 23,7318 11,8659
Вектор АВ -4 5 -1 |AB| = √(16+25+1) = √42 = 6,4807
Вектор ВС -4 -1 -5 |BC| = √(16+1+25) = √42 = 6,4807
Вектор АС -8 4 -6 |AC| = √(64+16+36) = √116 = 10,7703.
Р = 23,7318.
2) Площадь по формуле Герона.
S = √(p(p-a)(p-b)(p-c).
Подставив данные, получаем:
Треугольник АВС
a(ВС) b(АС) c(АВ) p 2p S
6,4807 10,7703 6,4807 11,8659 23,7318 19,4165
cos A = 0,830949 cos B = -0,3809523 cos С = 0,830949
Аrad = 0,5899851 Brad = 1,961622457 Сrad = 0,5899851
Аgr = 33,8036561 Bgr = 112,3926878 Сgr = 33,803656/
Площадь равна 19,4165 кв.ед.