(a) Using a ruler and a pair of compasses only, construct (i) a triangle XYZ in which /YZ/ = 8cm, < XYZ = 60° and < XZY = 75°. Measure /XY/; (ii) the locus (l_{1}) of points equidistant from Y and Z ; (iii) the locus (l_{2}) of points equidistant from XY and YZ.
(b) Measure QY where Q is the point of intersection of (l_{1}) and (l_{2}).
Explanation
(a)
(b) /QY/ = 4.8 cm