# What is the orthocenter of a triangle with corners at #(3 ,2 )#, #(4 ,5 )#, and (2 ,7 )#?

Orthocenter of the triangle is at

Orthocenter is the point where the three "altitudes" of a triangle meet. An "altitude" is a line that goes through a vertex (corner point) and is at right angles to the opposite side.

Solving equation(1) and (2) we get their intersection point , which is the orthocenter.

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The orthocenter of the triangle with corners at (3,2), (4,5), and (2,7) is (3.5, 4.5).

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