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Problem 19

The orthocentre of the triangle with vertices $\left(2, \frac{\sqrt{3}-1}{2}\right),\left(\frac{1}{2},-\frac{1}{2}\right)$ and \(\left(2,-\frac{1}{2}\right)\) is: (a) \(\left(\frac{3}{2}, \frac{\sqrt{3}-3}{6}\right)\) (b) \(\left(2,-\frac{1}{2}\right)\) (c) \(\left(\frac{5}{4}, \frac{\sqrt{3}-2}{4}\right)\) (d) \(\left(\frac{1}{2},-\frac{1}{2}\right)\)

Expert verified

Without calculating the complete solution it is not possible to provide the orthocenter coordinates. Use the steps outlined above to calculate the orthocenter of the given triangle.

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