What is the orthocenter of a triangle with corners at #(4 ,3 )#, #(7 ,4 )#, and (2 ,8 )#?
The Orthocentre is
From Geometry , we know that the altitudes of a trangle are concurrent at a point called the Orthocentre of the triangle.
Eqn. of Altd. AD :-
Eqn. of Altd. CF :-
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The orthocenter of the triangle with corners at (4, 3), (7, 4), and (2, 8) is approximately (5.06, 6.89).
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The orthocenter of a triangle is the point where all the altitudes of the triangle intersect. To find the orthocenter of the triangle with vertices at (4, 3), (7, 4), and (2, 8), you would need to find the intersection point of the altitudes.
The altitudes of a triangle are perpendicular lines drawn from each vertex to the opposite side. You can find the equations of these lines and then solve for their intersection point.
Once you have the equations of the altitudes and their intersection point, you will have found the orthocenter of the triangle.
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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.
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 the centroid of a triangle with corners at #(3, 1 )#, #(5, 2 )#, and #(12 , 6 )#?
- What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(9 ,5 )#, and (7 ,6 )#?
- A triangle has corners A, B, and C located at #(8 ,7 )#, #(4 ,5 )#, and #(6 , 7 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the centroid of a triangle with corners at #(4 , 5 )#, #(3 , 8 )#, and #(7 , 2 )#?
- A line segment is bisected by line with the equation # 6 y - 7 x = 3 #. If one end of the line segment is at #(4 ,2 )#, where is the other end?

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