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Loci (Locus and its Constructions) — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsLoci (Locus and its Constructions)3 Marks
Question
Using a ruler and compass only:
(i) Construct a triangle ABC with BC = 6 cm, ∠ABC = 120° and AB = 3.5 cm.
(ii) In the above figure, draw a circle with BC as diameter. Find a point 'P' on the circumference of the circle which is equidistant from Ab and BC.
Measure ∠BCP.
✓

Answer

(i) Steps of construction:
(1) Draw BC = 6 cm.
(2) Draw ∠ABC = 120°.
(3) Cut BA = 3.5 cm.
(4) Join A to C.
(5) Draw ⊥ bisector MN of BC.
(6) Draw a circle O as centre and OC, OB radius.
(7) Draw angle bisector of ∠ABC which intersect circle at P.

(ii) ∠BCP = 30°.

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