13. Five mark exercise problem III

Rhombus $PQRB$ is inscribed in $\Delta ABC$ such that $\angle B$ is one of its angle. $P$, $Q$ and $R$ lie on $AB$, $AC$ and $BC$ respectively. If $AB = 12 \ cm$ and $BC = 6 \ cm$, find the sides $PQ$, $RB$ of the rhombus.

 

Answer:

 

The side length of $PQ$ $=$  $cm$

 

The side length of $RB$ $=$  $cm$