Mathematics

Using a ruler and a pair of compasses only, (a) construct (i) a triangle ABC…

Using a ruler and a pair of compasses only, 

(a) construct (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and < CAB = 120° ; (ii) the locus (L_{1}) of points equidistant from A and B ; (iii) the locus (L_{2}) of points equidistant from Ab and AC, which passes through the triangle ABC.

(b) Label the point P where (L_{1}) and (L_{2}) intersect; 

(c) Measure |CP|.