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