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Paul [167]
2 years ago
11

The circular fountain in front of the park has

Mathematics
2 answers:
xeze [42]2 years ago
5 0

Answer: B. 87.96 ft

Step-by-step explanation: Hope this help :D

trapecia [35]2 years ago
4 0

15 it was rigth  in khan academy if u got the letter one its A

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<span><span><span>1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line. </span>
(Scroll Down for Answer!)</span><span>Answer by </span>jim_thompson5910(34047)   (Show Source):You can put this solution on YOUR website!
<span>If we plot the points and connect them, we get this triangle: 

 

Let point 
A=(xA,yA)
B=(xB,yB)
C=(xC,yC) 



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Let's find the equation of the segment AB 


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Plug in the given points 

 


Simplify and combine like terms 

 


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Let's find the equation of the segment CA 


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Simplify and combine like terms 

 


So the equation of the line through CA is  




So we have these equations of the lines that make up the triangle 


 



So to find the equation of the line that is perpendicular to  that goes through the point C(2,-5), simply negate and invert the slope  to get 

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex C is  



Now to find the equation of the line that is perpendicular to  that goes through the point A(4,5), simply negate and invert the slope to get  

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 Solve for y and simplify 

So the altitude for vertex A is  




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So the altitude for vertex B is  



------------------------------------------------------------ 
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 Plug in  into the first equation 

 Add 2x to both sides and subtract 2 from both sides 

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So the orthocenter is (-2/3,1/3) 

So if we plug in  into the third equation , we get 


 


 


 

 

So the orthocenter lies on the third altitude 





</span><span>
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