Q6 of 17 Page 175

Construct ΔABC where AB = 6 cm, BC = 4 cm and ∠B = 120°. Also draw incircle of the triangle.

Steps of Construction:


1. Construct a triangle of given dimensions.



2. Draw angle bisector of ∠B.



3. Draw angle bisector of ∠A.



4. They intersect each other at P.


5. From P, drop a perpendicular on the line AB.



6. With P as center and length of perpendicular as the radius, draw a circle.



More from this chapter

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2

Draw incircle of an equilateral triangle of side 4.6 cm. Do its circumcentre and incentre coincide with each other? Give reason for your answer

 3

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

 4

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.

 5

Where should the circumcentre of a triangle be located if sides of the triangle are 5 cm, 4.5 cm and 7 cm? Verify your answer by actual construction. Also, draw circumcircle to the given triangle.