Dados os pontos A ( -1,-1 ) , B (5,-7) E C (X,2) determine X , sabendo que o ponto C é eqüidistaste de A e B
dCA² = (Cx - Ax)² + (Cy - Ay)²
dCA² = (x + 1)² + (2 + 1)² = x² + 2x + 10
dCB² = (Cx - Bx)² + (Cy - By)²
dCB² = (x - 5)² + (2 + 7)² = x² - 10x + 25 + 81 = x² - 10x + 106
x² + 2x + 10 = x² - 10x + 106
12x = 96
x = 8
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dCA² = (Cx - Ax)² + (Cy - Ay)²
dCA² = (x + 1)² + (2 + 1)² = x² + 2x + 10
dCB² = (Cx - Bx)² + (Cy - By)²
dCB² = (x - 5)² + (2 + 7)² = x² - 10x + 25 + 81 = x² - 10x + 106
x² + 2x + 10 = x² - 10x + 106
12x = 96
x = 8