SOLUTION: A triangle has vertices S(0,7), E(5,-6), and T(10,7). Find the length of the altitude to the shortest side.

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Question 176129: A triangle has vertices S(0,7), E(5,-6), and T(10,7). Find the length of the altitude to the shortest side.
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
A triangle has vertices S(0,7), E(5,-6), and T(10,7). Find the length of the altitude to the shortest side.


The altitude is a vertical line through E, so it has to 
have the same x-coordinate as E, that is, 5, and it is on 
the same level as S and T, so it has the same y-coordinate
as S and T, that is, 7.  

So we draw in the altitude EA(5,7):



So the altitute extends 6 units below the x-axis and 7
units above the x-axis, so the altitude EA is 6+7 or 13 
units in length

Edwin
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
square root of 219
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