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.
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 = 2.3cm.
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