Question

são dados a(4,3), b(-1,2) e c(2,-1). Se AM é mediana do ∆ABC, calcule o comprimento de AM​

Answer 1

x = 1/2

y = 2 - 1 / 2

y = 1/2

M ( 1/2 , 1/2 )

AM² = ( 4 - 1/2 )² + ( 3 - 1/2)²

AM² = ( 8 - 1 / 2 )² + ( 6 - 1/2 )²

AM² = ( 7 / 2 )² + ( 5 / 2 )²

AM² = 49 / 4 + 25 / 4

AM² = 74 / 4

AM = V74 / 2

--------------- > v74 / 2 = AM