Question

Construct a rectangle ABCD, when:

Its one side $=6$ cm and $\angle A={60}^{\circ }.$

Answer 1

Step 1: Draw line segment $AB=6cm$.
Step 2: Construct $\angle BAX={60}^o$.
Step 3: With A as the centre and radius equal to $6$ cm , draw an arc on ray AX.
Step 4: Mark the point of intersection as D.
Step 5: With D as the centre and radius equal to 6 cm, draw an arc.
Step 6: With B as the centre and the same radius, draw another arc such that it intersects the previous arc at C.
Step 7: Join points C, D and points C, B.
ABCD is the required rhombus.