QUESTION: Construct the following quadrilateral of given measures.
Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.
SOLUTION: Steps of Construction:
Step 1: Draw LM = 6 cm.
Step 2: With L as centre and radius 6 cm, draw an arc.
Step 3: With M as centre and radius 7.5 cm, draw an arc cutting the previous arc at O.
Step 4: Join OL.
Step 5: With O as centre and radius 4.5 cm, draw an arc.
Step 6: With M as centre and radius 4.5 cm, draw an arc cutting the previous arc at N.
Step 7: Join ON and MN.
Here, LMNO is the required quadrilateral.
