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Problem 696

Show that the points \(\mathrm{A}(2,-2), \mathrm{B}(-8,4)\), and \(\mathrm{C}(5,3)\) are the vertices of a right triangle and find its area.

Expert verified

The given points $\mathrm{A}(2,-2), \mathrm{B}(-8,4)$, and $\mathrm{C}(5,3)$ form a right triangle with the right angle at point $\mathrm{B}$. The area of the triangle is \(34\) square units.

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