Question

Construct a rhombus with side of length
6.3 cm and the included angle between
one pair of sides is 30°.

Answer 1

Answer:

   We can construct the rhombus with side of length 6.3 cm and the included angle between one pair of sides is 30°.

Explanation:

• A rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees. This is the basic property of a rhombus. The shape of a rhombus is in a diamond shape. Hence, it is also called a diamond. The plural form of a rhombus is rhombi or rhombuses.

• Step 1: Draw line segment AB = 6cm.

• Step 2: Construct ∠BAX = 60°.

• Step 3: With A as the centre and radius equal to 6 cm, draw an arc on ray AX.

• Step 4: Mark the point of intersection as D.

• Step 5: With D as the centre and radius equal to 6 cm, draw an arc.

• Step 6: With B as the centre 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.

• Hence, we can construct the rhombus ABCD with side of length 6.3 cm and the included angle between one pair of sides is 30°.

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