# A triangle has corners A, B, and C located at #(2 ,3 )#, #(5 ,8 )#, and #(4 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?

The end points are

The triangle's corners are

The altitude's duration is

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To find the endpoints and length of the altitude going through corner C of the triangle with vertices A(2, 3), B(5, 8), and C(4, 2), you can follow these steps:

- Determine the slope of the line segment AB using the coordinates of points A and B.
- Find the equation of the line passing through A and B using the point-slope form.
- Determine the perpendicular line to AB passing through point C, as it represents the altitude.
- Find the intersection point of the altitude line and the line segment AB to get the endpoints of the altitude.
- Calculate the distance between these endpoints to find the length of the altitude.

Let's proceed with the calculations.

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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 #(3, 2 )#, #(1,5 )#, and #(0 , 9 )#?
- A triangle has corners A, B, and C located at #(2 ,3 )#, #(5 ,8 )#, and #(3 , 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 #(2 ,3 )#, #(3 ,5 )#, and #(4 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A line segment is bisected by a line with the equation # 4 y - 6 x = 8 #. If one end of the line segment is at #( 8 , 3 )#, where is the other end?
- A triangle has corners A, B, and C located at #(4 ,2 )#, #(1 ,3 )#, and #(6 ,5 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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