Question

Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 3.8 cm, CD = DA = 4.5 cm and diagonal BD = 5.6 cm.

Answer 1

Steps of construction:
Step 1: Draw $\mathrm{AB}=3.5\mathrm{cm}$.
Step 2: With B as the centre and radius equal to $5.6\mathrm{cm}$, draw an arc.
Step 3: With A as the centre and radius equal to $4.5\mathrm{cm}$, draw another arc, cutting the previous arc at D.
Step 4: Join BD and AD.
Step 5: With D as the centre and radius equal to $4.5\mathrm{cm},$ draw an arc.
Step 6: With B as the centre and radius equal to $3.8\mathrm{cm}$, draw another arc, cutting the previous arc at C.
Step 7: Join BC and CD.

Thus, ABCD is the required quadrilateral.