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In a triangle locate a point in its i...

In a triangle locate a point in its interior which is equidistant from all the sides of the triangle

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Knowledge Check

  • What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

    A
    0
    B
    1
    C
    2
    D
    3

  • The point in the plane of a triangle which is at equal perpendicular distance from the sides of the triangle is :

    A
    centroid
    B
    incentre
    C
    circumcentre
    D
    orthocentre

  • Incentre of a triangle lies in the interior of :

    A
    an isosceles triangle only
    B
    a right angled triangle only
    C
    any equilateral triangle only
    D
    any triangle

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    A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

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    The coordinates of the point which is equidistant from the three vertices of the triangle AOB as shown in the figure is

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