(a)
Using ruler and a pair of compasses only, construct:
(i)
the quadrilateral ABCD such that |AB| = 6.5 cm, |BC| = 9 cm, |AD| = 4 cm, ∠ ABC = 60° and ∠ BAD = 120°;
(ii)
the perpendicular bisectors of BC and CD.
(b)
Locate the point of intersection, T, of the two bisectors in (a(ii).
(c)
With the point T in (b) as centre, draw a circle to pass through the vertices B, C and D.
(d)
Measure:
(i)
|BT|;
(ii)
|CD|.