# What is the orthocenter of a triangle with corners at #(9 ,7 )#, #(1 ,1 )#, and (3 ,2 )#?

Given a triangle by through its vertices

Taking vertice

where

also for vertice

with

So the orthocenter is in

In our case we have

and

so

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The orthocenter of the triangle with corners at (9, 7), (1, 1), and (3, 2) is (5, 3).

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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.

- Using a compass and straight edge only mark two points A and B. Draw the line #l# through them and find another point C on #l# such that AB = BC?
- What is the orthocenter of a triangle with corners at #(1 ,4 )#, #(5 ,7 )#, and (2 ,3 )#?
- A triangle has corners A, B, and C located at #(2 ,7 )#, #(7 ,4 )#, and #(1 , 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 # - y + 7 x = 1 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?
- A triangle has corners A, B, and C located at #(2 ,7 )#, #(7 ,5 )#, and #(3 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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