# What is the orthocenter of a triangle with corners at #(1 ,2 )#, #(5 ,6 )#, and (4 ,6 )#?

The orthocenter of triangle is :(1,9)

Let ,

Let ,

Let

Slope of

So, equn. of

Now,

Slope of

and

So,

equn. of

From equn.

putting

From

Hence, orthocenter of triangle is :(1,9)

Please see the graph below:

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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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