# What is the orthocenter of a triangle with corners at #(4 ,3 )#, #(7 ,4 )#, and (2 ,8 )#?

The Orthocentre is

From Geometry , we know that the altitudes of a trangle are concurrent at a point called the Orthocentre of the triangle.

Eqn. of Altd. AD :-

Eqn. of Altd. CF :-

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The orthocenter of the triangle with corners at (4, 3), (7, 4), and (2, 8) is approximately (5.06, 6.89).

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The orthocenter of a triangle is the point where all the altitudes of the triangle intersect. To find the orthocenter of the triangle with vertices at (4, 3), (7, 4), and (2, 8), you would need to find the intersection point of the altitudes.

The altitudes of a triangle are perpendicular lines drawn from each vertex to the opposite side. You can find the equations of these lines and then solve for their intersection point.

Once you have the equations of the altitudes and their intersection point, you will have found the orthocenter of the triangle.

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