Construct a quadrilateral ABCD in which AB = 3.5 cm,

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.

Solution:

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.

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