What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(9 ,2 )#, and (5 ,6 )#?

Answer 1

#"points (4,7),(5,6),(9,2) are on the same line."#

#"points (4,7),(5,6),(9,2) are on the same line."#
#"therefore, a triangle doesn't form"#

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Answer 2

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. To find the orthocenter, you need to determine the equations of the altitudes and solve for their point of intersection. Given the coordinates of the triangle's vertices, you can calculate the slopes of the sides, find the perpendicular bisectors of those sides to get the equations of the altitudes, and then solve for their point of intersection. Alternatively, you can use trigonometric methods or the properties of perpendicular lines to find the orthocenter. Once you have the equations of the altitudes or the necessary angles and distances, you can calculate the coordinates of the orthocenter.

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Answer from HIX Tutor

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.

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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