QUESTION:
Construct the following quadrilateral of given measures.
Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.
SOLUTION:
Steps of Construction:
Step 1: Draw DE = 4.5 cm.
Step 2: With D as centre and radius 7.2 cm, draw an arc.
Step 3: With E as centre and radius 6.5 cm, draw an arc cutting the previous arc at F.
Step 4: Join EF.
Step 5: With D as centre and radius 5.5 cm, draw an arc.
Step 6: With E as centre and radius 7.8 cm, draw an arc cutting the previous arc at G.
Step 7: Join DG and GF.
Here, DEFG is the required quadrilateral.
