# What is the orthocenter of a triangle with corners at #(2 ,8 )#, #(3 ,4 )#, and (6 ,3 )#?

The ortho-center is the point of intersection of altitudes drawn from vertices to the opposite sides of a triangle hence the orthocenter of given triangle is

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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 #(4 ,5 )#, #(8 ,3 )#, and (7 ,9 )#?
- What is the centroid of a triangle with corners at #(5, 2 )#, #(2, 5)#, and #(7,2)#?
- What is the centroid of a triangle with corners at #(5 , 1 )#, #(0 , 5 )#, and #(3 , 2 )#?
- How do you find the height of an equilateral triangle with a side length of 3?
- A line segment is bisected by a line with the equation # 4 y - 3 x = 2 #. If one end of the line segment is at #( 7 , 5 )#, where is the other end?

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