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

ICSE BoardEnglish MediumSTD 10MathematicsLoci (Locus and Its Constructions)3 Marks
Question
Construct a triangle ABC, having given AB = 4.8 cm, AC = 4cm, and ∠A = 75°.
Find a point P.
(i) Inside the triangle ABC.
(ii) outside the triangle ABC
Equidistant from B and C; and at a distance of 1.2 cm from BC.

✓

Answer


Steps of Construction:
i) Draw a line segment AB = 4.8 cm
ii) At A, draw a ray AX making an angle of 75°
iii) Cut off AC = 4 cm from AX
iv) Join BC.
ABC is the required triangle.
v) Draw two lines l and m parallel to BC at a distance of 1.2 cm
vi) Draw the perpendicular bisector of BC which intersects l and m at P and P’
P and P’ are the required points which are inside and outside the given triangle ABC.

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