SOLUTION: find the length of the segment with the given endpoint and midpoint M. W(5,3) and M(-10,-5)

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Question 97277: find the length of the segment with the given endpoint and midpoint M.
W(5,3) and M(-10,-5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First find the length of the line segment from W to M


Start with the given distance formula
d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29 where is the first point and is the second point

d=sqrt%28%285--10%29%5E2%2B%283--5%29%5E2%29 Plug in x%5B1%5D=5, x%5B2%5D=-10, y%5B1%5D=3, y%5B2%5D=-5

d=sqrt%28%2815%29%5E2%2B%288%29%5E2%29 Evaluate 5--10 to get 15. Evaluate 3--5 to get 8.

d=sqrt%28225%2B64%29 Square each value

d=sqrt%28289%29 Add

d=17 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

So the distance between (5,3) and (-10,-5) is 17 units



Since the length of the segment through W and M is 17 units, simply double the length to get the total length of the segment


17*2=34


So the total length is 34 units