What is the orthocenter of a triangle with corners at #(4 ,1 )#, #(7 ,4 )#, and (3 ,6 )#?
Orthocenter(16/2, 11/3)
The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
step2
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert
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The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by: step2
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert
By signing up, you agree to our Terms of Service and Privacy Policy
The trick to this little problem is to find the slope between two points from there find the slope of perpendicular line which simply given by:
1)
2) find the equation of line that passes through the angle opposite the original line for you case give: A(4,1), B(7, 4) and C(3,6)
step1:
Find the slope of
To get the equation of line write:
step2
Find the slope of
To get the equation of line write:
Now equate
Solve for =>
Insert
By signing up, you agree to our Terms of Service and Privacy Policy
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 then find their point of intersection.
First, find the slopes of the sides of the triangle using the given coordinates. Then, find the equations of the perpendicular lines passing through each vertex (these are the altitudes). Finally, solve the system of equations formed by these perpendicular lines to find their point of intersection, which is the orthocenter.
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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.
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- In triangle ABC, AB=AC.The circle through B touches the side AC at the mid-point D of AC, passes through a point P on AB. Prove that 4 ×AP = AB ?
- A triangle has corners A, B, and C located at #(2 ,5 )#, #(7 ,4 )#, and #(6 ,3 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A line segment is bisected by line with the equation # 6 y - 2 x = 1 #. If one end of the line segment is at #(4 ,1 )#, where is the other end?

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