Question

Construct a rectangle whose one side is $3cm$ and a diagonal equal to $5cm$.

Answer 1

Steps for construction,

Step 1. Draw $AB=3cm$

Step 2. Draw a ray $BX$ such that $\angle ABX={90}^{\circ }$

Step 3. Draw an arc such that $AC=5cm$

Step 4. With $B$ as center, draw an arc of radius $5cm$.

Step 5. With $C$ as the center, draw another arc of radius $3cm$ which intersects the first arc at a point, suppose $D$.

Step 6. Join $CD$ and $AD$

Thus, $ABCD$ is the required rectangle.