# What is the orthocenter of a triangle with corners at #(4 ,5 )#, #(3 ,7 )#, and (5 ,6 )#?

The orthocenter of the triangle is

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The orthocenter of the triangle with vertices at (4, 5), (3, 7), and (5, 6) is (4.17, 5.17).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the orthocenter of a triangle with corners at #(5 ,4 )#, #(2 ,3 )#, and (3 ,8 )#?
- A line segment is bisected by a line with the equation # - 6 y + 2 x = 3 #. If one end of the line segment is at #( 4 , 8 )#, where is the other end?
- What is the orthocenter of a triangle with corners at #(6 ,3 )#, #(2 ,5 )#, and (7 ,9 )#?
- What is the centroid of a triangle with corners at #(1 , 3 )#, #(6 , 9 )#, and #(2 , 7 )#?
- What is the orthocenter of a triangle with corners at #(9 ,7 )#, #(6 ,9 )#, and (2 ,4 )#?

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