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

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Solution

Steps of construction:
Step 1: Draw AB = $4 c m$
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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Similar questions

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

Construct a rhombus ABCD, if ;

(i) AB = 4 cm and $∠ B = 120^{\circ}$ .

(ii) BC = 4.7 cm and $∠ B = 75^{\circ}$

(iii) CD = 5 cm and diagonal BD = 8.5 cm.

(iv) BC = 4.8 cm, and diagonal AC = 7 cm.

(v) diagonal AC = 6 cm and diagonal BD = 5.8 cm.

(vi) diagonal AC = 4.9 cm and diagonal BD = 6 cm.

(vii) diagonal AC = 6.6 cm and diagonal BD = 5.3 cm.

A B C D

A B = 3.6 c m, B C = 3.3 c m, A D = 2.7 c m

A C = 4.6 c m

B D = 4 c m

A B C D

A B = 4 c m

O

∠ O A B = 60^{0}

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