Question

Construct $\square LMNO$ such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5cm, l(OM) = 7.5 cm.

Answer 1

Step $1$: Draw a horizontal line segment LM$=6$cm

Step $2$: From point L draw an arc having radius$=6$cm

Step $3$: From point M, draw another arc having radius$=7.5$cm such that it intersects with the arc drawn in step $2$. The point of intersection of arcs is point o.

Step $4$: Join points LO and OM. LO is the side of quadrilateral while OM is the diagonal.

Step $5$: Draw an arc having radius $=4.5$cm from point O.

Step $6$: From point M, draw another arc having radius$=4.5$cm such that it intersects with arc drawn in step $5$.

The point of intersection is N.

Step $7$: Join points O and N and points M and N. ON and MN are also the sides of quadrilateral $\square$LMNO.