# A triangle has corners A, B, and C located at #(5 ,3 )#, #(7 ,9 )#, and #(5 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

The end points of the altitude is

The triangle's corners are

The altitude's duration is

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The endpoints of the altitude going through corner C can be found by determining the perpendicular line passing through point C and intersecting the line containing side AB.

First, find the slope of the line containing side AB using points A and B. Then, determine the negative reciprocal of this slope to find the slope of the perpendicular line passing through point C. Next, use the point-slope form to find the equation of this perpendicular line. The intersection of this perpendicular line with side AB gives the endpoints of the altitude.

Once you have the endpoints, you can calculate the length of the altitude using the distance formula.

- Find the slope of AB using points A and B.
- Determine the negative reciprocal of the slope of AB to find the slope of the altitude passing through point C.
- Use the point-slope form to find the equation of the altitude passing through point C.
- Find the intersection of this line with the line containing side AB to get the endpoints.
- Calculate the length of the altitude using the distance formula.

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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.

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