Find the coordinates of the orthocenter of triangle abc with vertices a(0 0) b(4 0) and c(4 2)
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We have to find the coordinates of the orthocenter of the triangle with vertices A ( 0,0 ) B ( 4,0 ) and C( 4,2 ).
From the lines AB and BC ( y = 0 and x = 4 ) we can see that the triangle ABC is the right triangle with the right angle at the vertex B.
Orthocenter is the point of intersection of all 3 altitudes of the triangle.
They all intersect in point B.
Answer:
The coordinates of the orthocentar are : O ( 4, 0 ).
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