A(2,3), B(4,1) e C(6,7), determine a equação da reta mediana relativa ao lado BC.
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ponto médio entre B e C
Mx = (Bx + Cx)/2
Mx = (4 + 6)/2 = 5
My = (By + Cy)/2
My = (1 + 7)/2 = 4
A(2,3)
M(5,4)
f(x) = ax + b
f(2) = 2a + b = 3
f(5) = 5a + b = 4
3a = 1
a = 1/3
2/3 + b = 3
b = 9/3 - 2/3 = 7/3
f(x) = (x + 7)/3
pronto
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Verified answer
ponto médio entre B e C
Mx = (Bx + Cx)/2
Mx = (4 + 6)/2 = 5
My = (By + Cy)/2
My = (1 + 7)/2 = 4
A(2,3)
M(5,4)
f(x) = ax + b
f(2) = 2a + b = 3
f(5) = 5a + b = 4
3a = 1
a = 1/3
2/3 + b = 3
b = 9/3 - 2/3 = 7/3
f(x) = (x + 7)/3
pronto