Q. 45.0( 5 Votes )

We draw a quadrilateral ABCD having AB = 4 cm, BC = 7 cm CD = 4 cm, ABC = 60°, BCD = 60°. Let us draw the circle circumscribing ΔABC and write what other characteristics we observe.

Answer :

Steps of Construction:


1. Construct quadrilateral ABCD of given dimensions.



2. We join A to C.


3. Draw perpendicular bisector of AB.



4. Draw perpendicular bisector of BC.



5. The point of intersection is the circumcenter. Name it as O.


6. With O as center and OC as radius, draw a circle.



7. The circle passes through A,B and C and is thus the circumcircle of this triangle.


We observe that ABCD is a cyclic quadrilateral as all the points A,B,C and D lie on the circle.


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