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Constructions (Circles) — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsConstructions (Circles)5 Marks
Question
Construct a triangle ABC in which base BC = 5.5 cm, AB = 6cm and ∠ABC = 120°.
(1) Construct a circle circumscribing the triangle ABC.
(2) draw a cyclic quadrilateral ABCD so that D is equidistant from B and C. 
✓

Answer

1.
 
a. Draw a line BC = 5.4 cm.
b. Draw AB = 6 cm, such that m∠ABC = 120°.
c. Construct the perpendicular bisectors of AB and BC, such that they intersect at O.
d. Draw a circle with O as the radius.
2.
e. Extend the perpendicular bisector of BC, such that
it intersects the circle at D.
f. Join BD and CD.
g. Here BD = DC.  

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