Home
Class 14
MATHS
If the medians of a triangle are equal, ...

If the medians of a triangle are equal, then the triangle is :

A

right angled

B

isoscles

C

equilateral

D

scalene

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

Prove using vectors: If two medians of a triangle are equal,then it is isosceles.

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

If the median drawn on the base of a triangle is half its base, the triangle will be:

Consider the following statements in respect of any triangle I. The three medians of a triangle divide it into six triangles of equal area. II. The perimeter of a triangle is greater than the sum of the lengths of its three medians. Which of the statements given above is/are correct ?

If the median AD of a triangle ABC makes an angle theta with side, AB, then sin(A-theta) is equal to

Show that a median of a triangle divides it into two triangles of equal areas.

Show that a median of a triangle divides it into two triangles of equal area.

The median of a triangle divides it into two

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. In the adjoining figure of DeltaABC, angleBCA=120^(@) and AB = c, BC =...

    Text Solution

    |

  2. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

    Text Solution

    |

  3. If the medians of a triangle are equal, then the triangle is :

    Text Solution

    |

  4. The incentre of a triangle is determined by the :

    Text Solution

    |

  5. The circumcentre of a triangle is determined by the :

    Text Solution

    |

  6. The point of intersection of the angle bisectors of a triangle is :

    Text Solution

    |

  7. A triangle PQR is formed by joining the mid-points of the sides of a t...

    Text Solution

    |

  8. If in a DeltaABC,'S' is the circumcentre then :

    Text Solution

    |

  9. If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, th...

    Text Solution

    |

  10. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

    Text Solution

    |

  11. In an equilateral triangle ABC, if a, b and c denote the lengths of pe...

    Text Solution

    |

  12. What is the ratio of side and height of an equilateral triangle?

    Text Solution

    |

  13. The triangle is formed by joining the mid-points of the sides AB,BC an...

    Text Solution

    |

  14. One side other than the hypotenuse of right angle isoceles triangle is...

    Text Solution

    |

  15. Any two of the four triangles formed by joining the mid - points of th...

    Text Solution

    |

  16. Delta ABC ,angle B external angle C meets at P angle A = 80 " then ...

    Text Solution

    |

  17. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  18. Incentre of a triangle lies in the interior of :

    Text Solution

    |

  19. In a triangle PQR, PQ=20 cm and PR =6 cm, the side QR is :

    Text Solution

    |

  20. The four triangles formed by joining the pairs of mid - points of the ...

    Text Solution

    |