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Construct the following rhombuses with the given measurements and also find their area.

CAKE, CA = 5 cm and ∠A = 65°

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Given CA = 5 cm and ∠A = 65°

(i) Drawn a line segment CA = 5 cm.

(ii) At A on AC, made ∠CAX = 65°

(iii) With A as centre, drawn arc of radius 5 cm. Let it cut AX at K.

(iv) With K and C as centres, drawn arcs of radius 5 cm each and let them cut at E. Joined KE and CE.

(v) CAKE is the required rhombus.

Calculation of Area :

Area of the rhombus = 12 × d1 × d2 sq.units 

= 12 × 5.4 × 8.5 cm2 

= 22.95 cm2

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