Q5 of 17 Page 175

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.

The circumcenter of this triangle should lie outside the triangle as it is an obtuse angled triangle.


Steps of construction:


1. Construct a triangle ABC of given dimensions.



2. Draw a perpendicular bisector of AB.



3. Draw a perpendicular bisector of BC



4. These perpendicular bisectors intersect at O.


5. With O as center and OA as radius, draw a circle.



6. This circle is the circumcircle of the given triangle.


More from this chapter

All 17 →
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.

 6

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