Question

$PQRS$ is a trapezium. Given that segment $PQ\parallel$ segment $MN\parallel$ segment $SR.$ If $PM=8,MS=10$ and $NR=5,$ then find $QN.$

Answer 1

Given: $PQ\parallel MN\parallel SR$

We know $\frac{PM}{MS}=\frac{QN}{NR}$

$\Rightarrow \frac{8}{10}=\frac{QN}{5}$

$\Rightarrow 40=10\times QN$

$\therefore QN=4$