Mathematics, 01.10.2019 01:10 triddi666
Acircle passes through points a(7,4), b(10,6), c(12,3). show that ac must be the diameter of the circle.
i've spent ages on this question and i still can't get
Answers: 2
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill](/tpl/images/0278/2098/6ae65.png)
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Acircle passes through points a(7,4), b(10,6), c(12,3). show that ac must be the diameter of the cir...
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