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(C) Let the vertices of the triangle be $A(8, 6)$,$B(2, -2)$,and $C(8, -2)$.Since the side $AC$ is vertical (both $x$-coordinates are $8$) and the sid

Vedclass · Accepted Answer

$(2, -2)$

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(C) Let the vertices of the triangle be $A(8, 6)$,$B(2, -2)$,and $C(8, -2)$.Since the side $AC$ is vertical (both $x$-coordinates are $8$) and the side $BC$ is horizontal (both $y$-coordinates are $-2$),the triangle is a right-angled triangle at vertex $C(8, -2)$.In a right-angled triangle,the orthocenter is the vertex where the right angle is formed.Therefore,the orthocenter is the vertex $C(8, -2)$.

Find the orthocenter of the triangle with vertices $(8, -2)$,$(2, -2)$,and $(8, 6)$.

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