# A triangle has corners A, B, and C located at #(3 ,1 )#, #(6 ,7 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

The end points of altitude are

length of altitude is

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The endpoint of the altitude going through corner C is (9, 8) because it's perpendicular to the side AB. The length of this altitude can be calculated using the formula for the distance between a point and a line. First, find the equation of line AB using the coordinates of A and B. Then, use the formula for the distance from a point to a line with C as the point and the equation of AB as the line.

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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.

- A triangle has corners A, B, and C located at #(3 ,5 )#, #(2 ,1 )#, and #(4 , 8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the orthocenter of a triangle with corners at #(7 ,3 )#, #(4 ,8 )#, and (6 ,8 )#?
- A triangle has corners A, B, and C located at #(6 ,1 )#, #(2 ,3 )#, and #(3 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(5 ,2 )#, #(2 ,5 )#, and #(8 ,4 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(4 ,7 )#, #(3 ,5 )#, and #(2 ,1 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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