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A triangle has vertices P(−2, 5), Q(−2, −3), and R(4, −3). S is the midpoint of PQ and T is the midpoint of QR. What is the length of ST?

st=5
st=4
st=3 squareroot 2
st= 6 squareroot 2

 May 14, 2018
 #1
avatar+4296 
+1

Plotting this on a piece of paper, and labeling all the points;

We have S midway of 8, which is 4

We have T midway of 6, which is 3

 

Thus, we have a right angle triangle, and we use this formula:

a^2+b^2=c^2

Plugging 4 for a, and 3 for b, we have

4^2+3^2=c^2

c^2=25

\(c=\boxed{5}\)

st=5, (a)

smileysmiley

.
 May 14, 2018
edited by tertre  May 14, 2018

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