Wed February 27, 2013 By:

construct and write steps of construction

Expert Reply
Thu February 28, 2013

To construct a circle circumscribing the given triangle

Steps of construction:

(i) Draw line BC = 6 cm

(ii) At B, draw a ray making an angle of 45o with BC.

(iii) At C, draw a ray making an angle of 60o with BC.

(iv) Let the two rays meet at point A. We get the triangle ABC.

(v) Draw perpendicular bisectors of BC and AC, which meet at O.

(vi) With O as centre and radius equal to the distance between O and the vertex of the triangle, draw a circle to pass through all the three vertices of the triangle.

(vii) The drawn circle is the required circumcircle.

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