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Find the orthocenter of the triangle formed by the points (–5, –7), (13, 2), (–5, 6).

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Find the orthocenter of the triangle formed by the points (–5, –7), (13, 2), (–5, 6).

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Let A(–5, –7), B(13, 2) and C(–5, 6)

∴ Equation of the altitude through B is y = 2 → (2) 

Solving (1) and (2), orthocenter is P(–3, 2).

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