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

Segment ST equals six square root of two end square root
Segment ST equals four
Segment ST equals three square root of two end square root
Segment ST equals five

User Glaucon
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1 Answer

5 votes

Answer:

Length of ST = mQR/2 = 4

Explanation:

S and T are the mid-points of PQ and PR, so ST is parallel to and equal to half the length of QR.

(following corrected due to mistake)

Length of QR = sqrt((3--5)^2+(4--2)^2)=sqrt(8^2+6^2)=10

Length of ST = mQR/2 = 5

I apologize for the error previously committed.

User Mike Murphy
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7.5k points