Question

In reperul cartezian xOy se considera punctele A(1,4), B(-3,2), C(5,2) . Calculati lungimea medianei din varful a si triunghiul ABC.

Answer 1

M-mijlocul segmentului BC
M(xM,yM)
M($\frac{x_{B} +x _{C} }{2} , \frac{y_{B}+ y_{C} }{2}$) => M($\frac{-3+5}{2} , \frac{2+2}{2}$) => M(1.2)

AM=$\sqrt{( x_{A}- x_{M}){2} +( y_{A} - y_{M}){2} } = \sqrt{(1-1){2} + (4-2){2} } = \sqrt{4} =2$