Q19 (a) In figure (i) given below, AB || DC, BC = AD = 13 cm. AB = 22 cm and DC = 12cm. Calculate the height of the trapezium ABCD.

(b) In figure (ii) given below, AB || DC, A = 90, DC = 7 cm, AB = 17 cm and AC = 25 cm. Calculate BC.

(c) In figure (iii) given below, ABCD is a square of side 7 cm. if AE = FC = CG = HA = 3 cm,
(i) prove that EFGH is a rectangle. (ii) find the area and perimeter of EFGH.

Solution

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