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
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)