Question

Construct a rhombus, having given one side = 4.8 cm and one angle = ${75}^{\circ }$.

Answer 1

Step 1: Draw line segment AB = 4.8 cm.
Step 2: Construct Angle BAX = 75.
Step 3: With A as the center and radius equal to 4.8 cm , draw an arc on ray AX.
Step 4: Mark the point of intersection as D.
Step 5: With D as the center and radius equal to 4.8 cm, draw an arc.
Step 6: With B as the center 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.