Question

Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.

Answer 1

We know that, in rhombus all sides are equal. To construct a rhombus whose side is of length 3.4 cm and one of its angle is 45°, use the following steps

1. Draw a line segment AS of length 3.4 cm.
2. Now, generate an angle 45° at both ends A and B of line segment AB and plot the parallel lines AX and BY.
3. Cut AD and SC of length 3.4 cm from AX and BY, respectively.
4. Draw an angle of 45° at one of the point D or C and join both points by a line segment DC of length 3.4 cm and parallel to AB.

Thus, ABCD is the required rhombus whose side is of length 3.4 cm and one of its angle is 45°.