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Construction of a Quadrilateral When Other Special Properties Are Known

Construct a r...

Question

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

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Solution

Steps of Construction :

(i) Draw a line segment AC = 6.5 cm.

(ii) With centres A and C and radius equal to 4 cm., draw arcs which intersect each other on both sides of line segment AC at B and D respectively.

(iii) Join AB, BC, CD and DA.

ABCD is the required rhombus.

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Similar questions

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}

A B C D

A B = 4 c m, B C = 5.6 c m, A C = 7.2 c m

A D = 4.5 c m

B D

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