Home
Class 12
MATHS
If two medians of a triangle are equal, ...

If two medians of a triangle are equal, prove that the triangle is isosceles.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

If altitudes from two vertices of a triangle to the opposite sides are equal prove that the triangle is isosceles.

If the bisector of the exterior vertical angle of a triangle be parrallel to the base, show that the triangle is isosceles.

ABC s a triangle and D is mid-point of BC. Perpendiculars froms D to AB and AC are equal. Prove that triangle is isosceles.

If the areas of two similar triangles are equal, prove that they are congruent.

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

If the bisector of an angle of a triangle also bisects the opposite side, prove that triangle is isosceles.

MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that the perpendicular from the vertices to the opposite sides (...

    Text Solution

    |

  2. Prove that in a right angled triangle the mid-point of the hypotenuse ...

    Text Solution

    |

  3. If two medians of a triangle are equal, prove that the triangle is iso...

    Text Solution

    |

  4. Which of the following statements are True or False : If the diagonals...

    Text Solution

    |

  5. Prove that sum of squares of the diagonals of a parallelogram is equal...

    Text Solution

    |

  6. In any DeltaABC prove by vectors that a^2=b^2+c^2-2 bc cos A.

    Text Solution

    |

  7. In any DeltaABC prove by vectors that b^2=c^2+a^2-2 ca cos B.

    Text Solution

    |

  8. In any triangle ABC, then by vectors, prove that : c^2=a^2+b^2-2ab cos...

    Text Solution

    |

  9. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

    Text Solution

    |

  10. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  11. In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B.

    Text Solution

    |

  12. Use vectors to prove that in triangleABC : b=c cos A+a cos C.

    Text Solution

    |

  13. Using vector method prove that cos(A-B)=cosAcosB+sinAsinB

    Text Solution

    |

  14. In any triangle ABC, show that AB^(2)+AC^(2)=2(AD^(2)+BD^(2)) wher...

    Text Solution

    |

  15. Prove that any two edges in a regular tetrahedron are perpendicular.

    Text Solution

    |

  16. In each problem, find the work done by a force vecF acting on a partic...

    Text Solution

    |

  17. In each problem, find the work done by a force vecF acting on a partic...

    Text Solution

    |

  18. Find the work done by the force vecF=hati+2hatj+hatk acting on a parti...

    Text Solution

    |

  19. Find the work done in moving an object along the vector vecd=3hati+2ha...

    Text Solution

    |

  20. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

    Text Solution

    |