Question

Construct a rhombus whose side is of length 3.4cm and one of its angles is ${45}^{\circ }$.

Answer 1

We know that in a regular rhombus all sides are equal.
Step 1: Draw a line segment AB of length 3.4 cm.
Step 2: At point A construct an angle BAX of ${45}^{\circ }$.
Step 3: Mark AD = 3.4 cm on ray AX.
Step 4: With B as center and radius 3.4 cm draw an arc above B.
Step 5: With D as center and radius 3.4 cm draw an arc intersecting the previous arc in step 4.
Step 6: Mark this point as C
Step 7: Join B to C and D to C

Thus, ABCD is the required rhombus.