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# Exercise 4.6: Construction of the Circumcentre, Incircle of a Triangle

Maths : Practical Geometry: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 4.6: Construction of the Circumcentre of a Triangle, Construction of the Incircle of a Triangle

Construction of the Circumcentre of a Triangle, Incircle of a Triangle

Exercise 4.6

1. Draw a triangle ABC, where AB = 8 cm, BC = 6 cm and B = 70º and locate its circumcentre and draw the circumcircle.

2. Construct the right triangle PQR whose perpendicular sides are 4.5 cm and 6 cm. Also locate its circumcentre and draw the circumcircle.

3. Construct ΔABC with AB = 5 cm B = 100º and BC = 6 cm. Also locate its circumcentre draw circumcircle.

4. Construct an isosceles triangle PQR where PQ= PR and Q = 500, QR = 7cm. Also draw its circumcircle.

5. Draw an equilateral triangle of side 6.5 cm and locate its incentre. Also draw the incircle.

6. Draw a right triangle whose hypotenuse is 10 cm and one of the legs is 8 cm. Locate its incentre and also draw the incircle.

7. Draw ΔABC given AB = 9 cm, CAB = 115° and ΔABC = 40° . Locatge its incentre and also draw the incircle. (Note: You can check from the above examples that the incentre of any triangle is always in its interior).

8. Construct ΔABC in which AB = BC = 6cm and B = 80° . Locate its incentre and draw the incircle.

Tags : Example Solved Problems | Practical Geometry , 9th Maths : UNIT 4 : Geometry
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9th Maths : UNIT 4 : Geometry : Exercise 4.6: Construction of the Circumcentre, Incircle of a Triangle | Example Solved Problems | Practical Geometry