ConstructionModerate2 marks
6(a)
Using a ruler and a compass construct a triangle ABC in which AB = 7 cm, ∠CAB = 60° and AC = 5 cm. Construct the locus of
points equidistant from BA and BC Hence construct a circle touching the three sides of the triangle internally.
Topic: Loci
Previous-year question practice database
Answer
Solution diagram
Exam answer
Answer:
The locus is the internal angle bisector of ∠B.
Explanation
Points equidistant from BA and BC lie on the angle bisectors of ∠ABC. The internal angle bisector meets the internal bisector of ∠A at the incentre, which is the centre of the required inscribed circle.
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