Home
Class 10
MATHS
If the incentre , circumcetre and cent...

If the incentre , circumcetre and centroid of a triangle be the same point , the triangle will be an __________ triangle.

Text Solution

Verified by Experts

The correct Answer is:
equilateral,
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONSTRUCTION OF CIRCUMCIRCLES AND INCIRCLE OF A TRIANGLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 7.1 . (LONG - ANSWER TYPE QUESTION )|14 Videos

  • CONSTRUCTION OF CIRCUMCIRCLES AND INCIRCLE OF A TRIANGLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 7.2|10 Videos

  • CONSTRUCTION OF CIRCUMCIRCLES AND INCIRCLE OF A TRIANGLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE- 7.1 ( MULTIPLE CHOICE QUESTION )|4 Videos

  • CONCEPT OF MEASUREMENT OF ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1|38 Videos

  • CONSTRUCTION : DETERMINATION OF MEAN PROPORTIONAL

    CALCUTTA BOOK HOUSE|Exercise Exercise|20 Videos

Similar Questions

Explore conceptually related problems

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be_____

Statement 1: If in a triangle, orthocentre, circumcentre and centroid are rational points, then its vertices must also be rational points. Statement : 2 If the vertices of a triangle are rational points, then the centroid, circumcentre and orthocentre are also rational points.

Knowledge Check

  • if O ts the centroid of triangleABC andOA =OB =OC, the triangle ts

    A
    acute angled
    B
    isoceles
    C
    equilateral
    D
    scalene\

  • (ix) Circum-centre, incentre, centroid and orthocentre will be the same of

    A
    an isosceles triangle
    B
    an equilateral triangle
    C
    a right-angled triangle
    D
    a right-angled isosceles triangle

  • If the orthocentre and centroid of a triangle are (-3, 5) and (3, 3) then its circumcentre is :

    A
    (6, 2)
    B
    (3, -1)
    C
    (-3, 5)
    D
    (-3, 1)

    • Similar Questions

    Explore conceptually related problems

    Write True or False The incentre and circumcentre of an equilateral triangle are same.

    If a vertex, the circumcenter, and the centroid of a triangle are (0, 0), (3,4), and (6, 8), respectively, then the triangle must be (a) a right-angled triangle (b) an equilateral triangle (c) an isosceles triangle (d) a right-angled isosceles triangle

    D , E ,a n dF are the middle points of the sides of the triangle A B C , then (a) centroid of the triangle D E F is the same as that of A B C (b) orthocenter of the tirangle D E F is the circumcentre of A B C

    Let ABC be a triangle of area 24sq.units and PQR be the triangle formed by the mid-points of the sides triangle ABC. Then what is the area of triangle PQR.

    The centroid of the triangle formed by the points (1,2),(2,4)and (-3,6) is -

    Home
    Profile