Draw a rhombus ABCD, if AB = 6 cm and AC = 5 cm.

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Solution

1. Draw a line segment AC of 5 cm.
2. With A as centre, draw an arc of radius 6 cm on each side of AC.
3. With C as centre, draw an arc of radius 6 cm on each side of AC. These arcs intersect the arcs of step 2 at B and D.
4. Join AB, AD, CD and CB.

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Construct a rhombus ABCD with AB = 4.5 cm and AC = 6 cm. [4 MARKS]

A B C D

A B = 5 c m, B C = 6 c m, C D = 4 c m, A D = 3 c m

A C = 5 c m .

A B C D

A C = 6 c m

B D = 7 c m .

A B C D

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.

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