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

PARK, PR = 9 cm and ∠P = 70°

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Given PR = 9 cm and ∠P = 70°

Steps :

(i) Drawn a line segment PR = 9 cm.

(ii) At P, made ∠RPX = ∠RPY = 35° on either side of PR.

(iii) At R, made ∠PRQ = ∠PRS = 35° on either side of PR

(iv) Let PX and RQ cut at A and PY and RS at K.

(v) PARK is the required rhombus

Calculation of Area :

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

= 1/2 × 9 × 6.2 cm2

= 27.9 cm2

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