# What is the orthocenter of a triangle with corners at #(8 ,7 )#, #(2 ,1 )#, and (4 ,5 )#?

The orthocenter of triangle is

Let

Let

Let

Slope of

Slope of

Subst.

From equn.

Hence, the orthocenter of triangle is

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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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