Question

Construct a quadrilateral $PQRS$ in which $QR=7.5cm,PR=PS=6cm,RS=5cm$, and $QS=10cm$.

Answer 1

The given Quadrilateral $PQRS$ can be drawn by following the steps.
Step 1: Draw a line $QR=7.5cm$
Step 2: Draw an arc of $10cm$ from $Q$
Step 3: From $R$ with $5cm$ as radius cut the arc drawn in step 2 and that point of intersection is $S$.
Step 4: Draw another arc from $R$ with $6cm$ of radius
Step 5: From $S$ take $6cm$ as radius and cut the arc drawn in step 4 and the point of intersection is $P$. now join $PR$ and $PS$.
We get the required quadrilateral $PQRS$