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Question

Draw a right-angled triangle of which two sides containing the right angle have the lengths 5 cm and 6 cm. Now draw an incircle of the triangle.

WBBSE Class X Mathematics Construction of Circumcircle and Incircle 05 Mark 2023

Answer

Draw a right angled triangle of which two sides containing the right angle have the lengths

Steps of construction:

  1. Draw a line BC of 6 cm.
  2. At point B draw a right angle.
  3. Take a distance of 5 cm and cut an arc from the point B. This will give the point
  4. Join A to C. This is the right angle triangle ABC.
  5. Draw angle bisector of any two angles say ∠B and ∠C of △ABC and let these intersect at a point say O.
  6. Taking O as centre and OM as radius, draw a circle.
  7. The circle touches the other two sides of triangle. This will be the required in circle of the triangle.

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