Describe the process of drawing an incircle of a right-angled triangle.
WBBSE
Class X
Mathematics
Construction of Circumcircle and Incircle
05 Mark
2023
The process of drawing an incircle of a right-angled triangle
- Make a right-angled triangle (one angle should be 90°).
- Cut two angles of the triangle into half using a compass (for example, angle at A and angle at C).
- The two bisectors will meet at a point inside the triangle. This point is called the incenter.
- From the incenter, draw a straight line to one side of the triangle so that it meets the side at 90°. The length of this line is the radius of the circle.
- Place the compass on the incenter, set its length equal to the radius, and draw a circle.
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