Question

in the figure below, points S, T, and U are the midpoints of the sides of PQR. suppose PR =96, PQ =100, and SU =14. find the following lengths. QR, ST, and QT

Answer 1

We have

PR =96

PQ =100

SU =14

Because of the midpoints, we can assume the next equivalences.

`SU=QT=TR`
`ST=RU=PU`

`TU=QS=SP`

so we can find

`QR=2(SU)=2(14)=28`
`ST=(96)/(2)=48`

`QT=SU=14`