Construct a rhombus ABCD in which AB = 4 cm

Question:

Construct a rhombus ABCD in which AB = 4 cm and diagonal AC is 6.5 cm.

Solution:

Steps of construction:

Step 1: Draw AB = 4 cm

Step 2: With B as the centre, draw an arc of 4 cm.

Step 3: With A as the centre, draw another arc of 6.5 cm, cutting the previous arc at C.

​Step 4: Join AC and BC.

Step 5: With C as the centre, draw an arc of 4 cm.

Step 6: ​With A as the centre, draw another arc of 4 cm, cutting the previous arc at D.

Step 7: Join AD and CD.

ABCD is the required rhombus.

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