Construct a rhombus \(ABCD\) with one of its sides as \(13\) \(cm\) and one of its angles as \(75^\circ\). Also find its area.
Constructions:
Step \(1\): Draw a rough diagram with the known measurements.
Step \(2\): In a sheet of paper, draw a line segment \(AB\) of \(13\) \(cm\) in length.
Step \(3\):With \(A\) as centre, measure \(75^\circ\) and draw a line .
Step \(4\): With \(A\) as centre and with \(13\) \(cm\) as radius, draw an arc over the line
Step \(5\): With \(D\) as centre and with \(13\) \(cm\) as radius, draw an arc. With \(B\) as radius and with \(13\) \(cm\) as radius, cut the existing arc. Mark the intersection as \(C\)
Step \(6\): Now join \(CD\) and \(BC\) to form the desired rhombus.
Area of the rhombus: \(=\) \(cm^2\)
(Enter the answer as nearest tenth if it is decimal value)
Answer variants:
