Q4 of 17 Page 175

Draw circumcircle of a triangle whose sides are 10.5 cm, 12.7 cm and 13 cm respectively. Also give reason as to why its circumcentre is located on the side of length 13 cm.

Let the triangle be ABC,


1. Draw a triangle ABC of given dimensions.



2. Now, draw perpendicular bisector of side AB.



3. Now, draw perpendicular bisector of BC.



4. Now, draw circle with the point of intersection of perpendiculars as center and passing through all vertices of the triangle.



Here we can see, the circle is touching all the vertices of the triangle. Hence it is the circumcircle.


Since the triangle is not a right angled triangle so the circumcenter is not lying on any side.


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Draw incircle of a triangle ABC where AB = 4.6 cm, AC = 4.2 cm and ∠A = 90°.

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