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Question
Without using set squares or protractor construct:
(i) Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
(ii) Draw the locus of a point which moves so that it is always 2.5 cm from B.
(iii) Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
(iv) Mark the point of intersection of the loci with the letter P and measure PC.
Solution
(i) Draw a triangle by given measurements.
(ii) The locus of a point which moves so that it is always 2·5 cm from B is a circle as shown in the figure.
(iii) The locus of a point is bisector of ∠ACB.
(iv) The circle and bisector intersect in two points PD = 0·9 cm and PC = 3·4 cm.
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