Find the orthocenter of △abc. a(2, 3), b(−4, −3), c(2, −3) a. (2, −3) b. (−1, 0) c. (0, −1) d. (−2, 1)

ANSWER



EXPLANATION.

The orthocenter is the point of intersection of any two altitudes of the triangle.

First, you need to determine the slope of each side of the triangle.

△ABC has vertices A(2, 3), B(−4, −3), C(2, −3).





This line has undefined slope, which means it is a vertical line.



The slope of this line is zero, meaning the line is a horizontal line.

This implies that side BC and side AC of the given triangle are perpendicular and will intersect at C since they are the altitudes of triangle ABC.

Hence the orthocentre is



See diagram in attachment.

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