Seja um triângulo cujos vertices sao os pontos A(-2,5) B(3,2) e C(5,-7).?
a) qual o comprimento da mediana que parte de C?
b)Quais sao as coodernadas de baricentro desse triângulo?
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a) qual o comprimento da mediana que parte de C?
b)Quais sao as coodernadas de baricentro desse triângulo?
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Verified answer
Mx = (-2 + 3)/2 = 1/2
My = (5 + 2)/2 = 7/2
M(1/2, 7/2)
C(5,-7)
dMC² = (Mx - Cx)² + (My - Cy)²
dMC² = (1/2 - 5)² + (7/2 + 7)²
dMC² = (9/2)² + (21/2)²
dMC² = (81 + 441)/4 = 522/4
dMC = √522/2
baricentro
Gx = (Ax + Bx + Cx)/3 = (-2 + 3 + 5)/3 = 2
Gy = (Ay + By + Cy)/3 = (5 + 2 - 7)/3 = 0
pronto