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

The endpoint is

The length of the altitude is

The triangle's corners are

The altitude's equation is

The altitude's duration is

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The endpoints of the altitude going through corner C are (6,2) and the foot of the altitude, which can be found by calculating the intersection point of the line containing AB and the perpendicular bisector of segment AB passing through C. The length of the altitude can be calculated using the distance formula between the endpoints.

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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 centroid of a triangle with corners at #(9 , 2 )#, #(4 , 6 )#, and #(5 , 8 )#?
- If the altitude of an equilateral triangle is #8sqrt3#, what is the perimeter of the triangle?
- What is the orthocenter of a triangle with corners at #(5 ,7 )#, #(2 ,3 )#, and (4 ,5 )#?
- A line segment is bisected by a line with the equation # - 3 y + 5 x = 8 #. If one end of the line segment is at #( 7 , 9 )#, where is the other end?
- A line segment is bisected by a line with the equation # 3 y + 5 x = 2 #. If one end of the line segment is at #( 5 , 8 )#, where is the other end?

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