Q1 of 19 Page 178

Let us draw the following triangles and by drawing incircle of each circle, let us write by measuring the length of inradius in each case.

the lengths of three sides are 7 cm., 6 cm., and 5.5 cm.

Steps of Construction:


1. Construct triangle of given dimensions.


2. Name it as ΔABC.



3. Draw angle bisector of ∠A.



4. Draw angle bisector of ∠B.



5. They intersect at O.


6. Draw perpendicular on AB through O.



7. The perpendicular intersects with AB at P.


8. With O as center and OP as radius, draw a circle.



The inradius of the triangle, OP = 1.9cm.


More from this chapter

All 19 →
5

Let us draw the rectangle PQRS having PQ = 4 cm, and QR = 6 cm. Let us draw the diagonals of the rectangle. Let us write by calculating the position of the centre of the circum-circle of ΔPQR and the length of circum radius without drawing. By drawing circumcircle of ΔPQR, let us verify.

 6

If any circular picture is given, then how shall we find its centre? Let us find the centre of the circle in the adjoining figure.

 1

Let us draw the following triangles and by drawing incircle of each circle, let us write by measuring the length of inradius in each case.

the length of two sides are 7.6 cm., 6 cm. and the angle included by those two sides is 75°.

 1

Let us draw the following triangles and by drawing incircle of each circle, let us write by measuring the length of inradius in each case.

the length of a side is 6.2 cm. and measures of two angles adjacent to this side are 50° and 75°