Question

In figure, OQ$:$PQ$=3:4$ and perimeter of $\Delta$POQ$=60$cm. Determine PQ, QR and OP.

Answer 1

Let $x$ be Common Ratio

$⟹OQ=3x,PQ=4x$

In $△POQ$

$(OQ{)}^2+(PQ{)}^2=(PO{)}^2$

$⟹PO=5x$

Since perimeter $=60$

$⟹x=5$

$⟹PQ=20,QR=24,OP=25$