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Mathematics

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between tangents is 45°.

Constructions

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Answer

Steps of Construction :

  1. Draw a circle with center O, radius = 5 cm and BC as diameter.

  2. Draw arcs making an angle of 135° (180° - 45°) at O such that ∠AOB = 135°.

  3. At A and B, draw two rays making an angle of 90° at each point which meet other at point P.

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between tangents is 45°. Constructions, Concise Mathematics Solutions ICSE Class 10.

Hence, AP and BP are required tangents making an angle of 45° with each other.

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