Question

In $△RST$, line $PQ\parallel segST$, $R-P-S$ and $R-Q-T$. If $RP=4,PS=8,RQ=3$, then find $QT$.

Answer 1

In $△RST$, line $PQ\parallel ST$
$\frac{RP}{PS}=\frac{RQ}{QT}$ ....(i) [By B.P.T]
Now, $RP=4,PS=8,RQ=3$
$\therefore \frac{4}{8}=\frac{3}{QT}$ ....[from (i)]

$\therefore 4\times QT=8\times 3$

$\therefore QT=\frac{8\times 3}{4}$

$\therefore QT=6$