# A triangle has corners A, B, and C located at #(3 ,1 )#, #(6 ,4 )#, and #(9 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?

If you can't follow the steps step by step, continue reading.

Step 1

Step 2

Step 3

So #D = (9.5,7.5)

Step 4

It appears that the answer is a little off. Whoops.

By signing up, you agree to our Terms of Service and Privacy Policy

The altitude going through corner C of the triangle with corners A, B, and C can be determined by finding the perpendicular line from point C to the line containing segment AB. To find the equation of the line containing segment AB, you first find the slope of AB using the coordinates of points A and B. Then, using the slope and one of the points (A or B), you can find the equation of the line.

Next, you find the negative reciprocal of the slope of AB to get the slope of the altitude. Using point C and the slope of the altitude, you can find the equation of the altitude.

After finding the equation of the altitude, you can solve the system of equations formed by the equation of the altitude and the equation of segment AB to find the point of intersection, which represents the endpoint of the altitude.

Once you have the endpoint of the altitude, you can find its length by calculating the distance between point C and the endpoint using the distance formula.

By signing up, you agree to our Terms of Service and Privacy Policy

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 an example of a real world situation that implies the perpendicular bisector theorem?
- A line segment is bisected by a line with the equation # - 3 y + 2 x = 2 #. If one end of the line segment is at #( 7 , 9 )#, where is the other end?
- What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(6 ,2 )#, and (3 ,6 )#?
- A triangle has corners A, B, and C located at #(6 ,4 )#, #(2 ,5 )#, and #(3 , 1 )#, 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 + x = 3 #. If one end of the line segment is at #(5 ,6 )#, where is the other end?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7