Given AK = 7.5 cm and ∠A = 80°
(i) Drawn a line segment AK = 7.5 cm.
(ii) At A, made ∠KAX = ∠KAY = 40° on either side of AK.
(iii) At K, made ∠AKP = ∠AKQ = 40° on either side of AK
(iv) Let AX and KP cut at M and AY and KQ at R.
(v) MARK is the required rhombus
Calculation of Area :
Area of the rhombus = 12 × d1 × d2 sq.units
= 12 × 7.5 × 6.4 cm2
= 24 cm2