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In the diagram below of triangle PQRPQR, SS is the midpoint of \overline{PR}
PR
and TT is the midpoint of \overline{QR}
QR
​
. If ST=37-9xST=37−9x, and PQ=-4x+32PQ=−4x+32, what is the measure of \overline{PQ}
PQ
​
?

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abidemiokin

The length of PQ is 20 units

Median property of a triangle

From the given triangle PQ = 2ST

Given the following parameters

PQ = -4x + 32

ST = 37 - 9x

Equate both expression:

-4x + 32 = 2(37 - 9x)

-4x + 32 = 74 - 18x

14x = 74 - 32

14x= 42

x = 3

Get the length of PQ
PQ = -4x + 32

PQ = -4(3) + 32

PQ = 20

Hence the length of PQ is 20 units

Learn more on median property of a triangle here: https://brainly.com/question/16189203

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