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Find the measurement of QT, if ST = 6
- Thread starter alee
- Start date
I presume W is Q :shock:alee said:Points P, W, R, S, and T are all collinear. RP = PS, PQ = QR, and PS = ST. T is not between R and S. If ST = 6, find the measurement of QT.
T.....2x.....S.....2x.....P..x..Q..x..R
OK?
Hello, alee!
Take baby-steps and make lots of diagrams . . .
\(\displaystyle RP\,=\,PS.\;\) Let \(\displaystyle RP\,=\,2x\)
\(\displaystyle PQ\,=\,QR\)
\(\displaystyle PS\,=\,ST.\;\;T\text{ is not between }R\text{ and }S.\)
We are told that: \(\displaystyle \,ST\,=\,6\;\;\Rightarrow\;\;2x\,=\,6\;\;\Rightarrow\;\;x\,=\,3\)
Now we can find the length of any line segment in the diagram . . .
Take baby-steps and make lots of diagrams . . .
Points \(\displaystyle P,\,W,\,R,\,S,\,T\) are collinear.
\(\displaystyle RP\,=\,PS,\;PQ \,=\,QR,\;PS\,=\,ST.\;\;T\) is not between \(\displaystyle R\) and \(\displaystyle S\).
If \(\displaystyle ST\,=\,6\), find the length of \(\displaystyle QT\).
\(\displaystyle RP\,=\,PS.\;\) Let \(\displaystyle RP\,=\,2x\)
Code:
: 2x : 2x :
*-----------*-----------*
R P S\(\displaystyle PQ\,=\,QR\)
Code:
: x : x : 2x :
*-----*-----*-----------*
R Q P S\(\displaystyle PS\,=\,ST.\;\;T\text{ is not between }R\text{ and }S.\)
Code:
: x : x : 2x : 2x :
*-----*-----*-----------*-----------*
R Q P S TWe are told that: \(\displaystyle \,ST\,=\,6\;\;\Rightarrow\;\;2x\,=\,6\;\;\Rightarrow\;\;x\,=\,3\)
Now we can find the length of any line segment in the diagram . . .