Question

Construct a rhombus in which one angle? is 75° and one side is 5.2 cm.

Answer 1

First of all we draw a rough sketch of the given measurements :

Steps of Construction

1. First, we draw a line segment AB = 5.2 cm.
2. At point B, we draw ∠ABX = 75° with AB and cut an arc of 5.2 cm on BX. Mark the cut point as C.
   
3. Draw an arc of radius 5.2 cm. from C and cut an arc of radius 5.2 cm. from A. The point of intersection is marked as point D.
4. Join AD and CD.

Thus, ABCD is,a required rhombus.