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

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.



9. The inradius of the triangle, OP = 1.8cm.


More from this chapter

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

 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.

a triangle is a right-angled triangle of which two sides containing the right angle have the lengths of 7 cm. and 9 cm.

 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.

a triangle is a right-angled triangle of which the length of hypotenuse is 9 cm. and another side 6.5 cm.