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Construct a rhombus FISH with FS = 8 cm and ∠F = 80°

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Given FS = 8 cm and ∠F = 80°

Steps :

(i) Drawn a line segment FS = 7 cm.

(ii) At F, made ∠SFX = ∠SFY = 40° on either side of FS.

(iii) At S, made ∠FSP = ∠FSQ = 40° on either side of FS

(iv) Let FX and SP cut at H and FY and SQ cut at I.

(v) FISH is the required rhombus

Calculation of Area:

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

= 12 × 5.9 × 7 cm2 

= 20.65 cm2

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