# What is the orthocenter of a triangle with corners at #(5 ,7 )#, #(2 ,3 )#, and #(7 ,2 )# ?

Orthocenter of a triangle is a point where the three altitudes of a triangle meet. To find the orthocentre, it would be enough, if intersection of any two of the altitudes is found out. To do this, let the vertices be identified as A(5,7), B(2,3), C(7,2).

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The orthocenter of the triangle with corners at (5, 7), (2, 3), and (7, 2) is located at the point where the altitudes of the triangle intersect. To find the orthocenter, you need to find the equations of the altitudes, then solve for their intersection point.

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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.

- A line segment is bisected by a line with the equation # 3 y - 7 x = 2 #. If one end of the line segment is at #(7 ,8 )#, where is the other end?
- What is the orthocenter of a triangle with corners at #(4 ,7 )#, #(8 ,2 )#, and (5 ,6 )#?
- A triangle has corners A, B, and C located at #(4 ,7 )#, #(3 ,2 )#, and #(2 ,1 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the orthocenter of a triangle with corners at #(4 ,5 )#, #(3 ,7 )#, and (5 ,6 )#?
- Let #P(a,b) and Q(c,d)# be two points in the plane. Find the equation of the line #l# that is the perpendicular bisector of the line segment #bar(PQ)#?

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