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

FACE, FA = 6 cm and FC = 8 cm

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Given FA = 6 cm and FC = 8cm

Steps :

(i) Drawn a line segment FA = 6 cm.

(ii) With F and A as centres, drawn arcs of radii 8 cm and 6 cm respectively and let them cut at C.

(iii) Joined FC and AC.

(iv) With F and C as centres, drawn arcs of radius 6 cm each and let them cut at E. Joined FE and EC.

(v) FACE is the required rhombus.

Calculation of Area :

Area of the rhombus = 1/2 × d1 × d2 sq.units 

= 1/2 × 8 × 9 sq.units 

= 36 cm2

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