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From point I (incenter), a perpendicular IP is drawn onto side BC. What does the length IP represent?

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Question

From point I (incenter), a perpendicular IP is drawn onto side BC. What does the length IP represent?

Options

  • The diameter of the incircle

  • The height of the triangle

  • The inradius of the incircle

  • The semi-perimeter of the triangle

MCQ
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Solution

The inradius of the incircle

Explanation:

The perpendicular distance from the incenter to any side of the triangle equals the radius of the in-circle, called the inradius (r).

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