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.

a triangle is an isosceles triangle, having the 10 cm. length of base and each of the equal angle is 45o

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 = 2.07cm.


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.

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.

 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 triangle is an isosceles triangle having the 7.8 cm. length of base and the length of each equal side of 6.5 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.

Let us draw an equilateral triangle having 7 cm. length of each side. By drawing the circumcircle and incircle, let us find the length of circum radius and inradius and let us write whether there is any relation between them.