ABCD is a trapezium in which AB // DC, |AB| = 8cm,

(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, < ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:

(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are two points AB;

(b) Measure |AB| and |QB|.

Explanation

(b) |AC| = 7cm ; |QB| = 2.9cm.

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