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The points $(1, 7), (13, 16)$ and $(5, k)$, where $k$ is an integer, are vertices of a non-degenerate triangle. What is the sum of the values of $k$ for which the area of the triangle is a minimum?

 Apr 16, 2021
 #1
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See the image :

 

 

The two  points  that  minimize   the area  are  (  5, 9)  and (5, 11)

 

The  sum of all possible k's    =   9  + 11    =  20

 

 

cool cool cool

 Apr 16, 2021

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