Q3 of 17 Page 175

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

Steps of Construction:


1. Draw a right-angled 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

All 17 →
1

Write the truth value (T/F) of each of the following statements. If possible, give reason for your answer.

(i) In an equilateral triangle, the incircle and the circumcircle can be constructed with the same centre.


(ii) The incircle of a triangle touches all sides of the triangle.


(iii) In an obtuse-angled triangle, the circumcenter lies on one of the sides of the triangle.


(iv) In an acute-angled triangle, the circumcentre lies inside the triangle.


(v) The incircle of a triangle is constructed by locating the point of intersection of perpendicular bisectors of any two sides of the triangle.

 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

 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.