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WBBSEClass 10MathematicsConstruction of Circumcircle and Incircle05 Mark2023 Easy

QQuestion

Describe the process of drawing an incircle of a right-angled triangle.

Exam-ready answer • 05 Mark

Answer

The process of drawing an incircle of a right-angled triangle

  1. Make a right-angled triangle (one angle should be 90°).
  2. Cut two angles of the triangle into half using a compass (for example, angle at A and angle at C).
  3. The two bisectors will meet at a point inside the triangle. This point is called the incenter.
  4. 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.
  5. Place the compass on the incenter, set its length equal to the radius, and draw a circle.
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