Home
Class 9
MATHS
In triangleABC, AD the perpendicular bis...

In `triangleABC`, AD the perpendicular bisector of BC (see given figure). Show that `triangleABC` is an isosceles triangle in which AB=AC.

Promotional Banner

Topper's Solved these Questions

  • THE ELEMENTS OF GEOMETRY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , AD is the perpendicular bisector of BC (See adjacent figure). Show that DeltaABC is an isosceles triangle in which AB = AC.

Observe the given figure and show that triangle ABC is Isosceles.

In /_\ABC , AD is the perpendicular bisector of BC. Show that /_\ABC is an isosceles triangle in which AB=AC.

In the given figure, AB "||"Dc and AD "||"BC Show that triangle ABC ~= triangle CDA

In DeltaABC , the bisector AD of A is perpendicular to side BC Show that AB = AC and DeltaABC is isosceles.

triangleABC and triangleDBC are two isosceles triangles on the same base BC (see figure). Show that angelABD = angelACD .

In triangleABC, AB = AC , then |__ B =___

In /_\ABC, AD is a perpendicular to BC.S.T iii) AB + AC gt BC

AD and BC are equal and perpendiculars to a line segment AB. Show that CD bisects AB.

Two sides AB, BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of trianglePQR (see figure). Show that: triangleABC~=trianglePQR

VGS PUBLICATION-BRILLIANT-TRIANGLES-EXERCISE
  1. In an isosceles triangle ABC with AB = AC, D and E are points on BC su...

    Text Solution

    |

  2. In an isosceles triangle ABC, with AB =AC, the bisectors of angleB and...

    Text Solution

    |

  3. In triangleABC, AD the perpendicular bisector of BC (see given figure)...

    Text Solution

    |

  4. ABC is a triangle in which altitudes BD and CE to sides AC and AB are ...

    Text Solution

    |

  5. triangleABC and triangleDBC are two isosceles triangles on the same ba...

    Text Solution

    |

  6. Through construction we have seeri that SSS congruency rule hold. This...

    Text Solution

    |

  7. In the figure given below triangleABC and triangleDBC are two triangle...

    Text Solution

    |

  8. P is a point equidistant from two lines l and m intersecting at point ...

    Text Solution

    |

  9. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

    Text Solution

    |

  10. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

    Text Solution

    |

  11. Two sides AB, BC and median AM of one triangle ABC are respectively eq...

    Text Solution

    |

  12. BE and CF are two equal altitudes of a triangle ABC. Using RHS congrue...

    Text Solution

    |

  13. triangleABC is an isosceles triangle in which AB = AC. Show angleB=ang...

    Text Solution

    |

  14. DeltaABC is an isosceles triangle in which AB = AC. Side BA is produc...

    Text Solution

    |

  15. ABC is a right angled triangle in which /A = 90^@ and AB = AC. Show th...

    Text Solution

    |

  16. Show that the angles of an equilateral triangle are 60^@ each.

    Text Solution

    |

  17. In angleABC, D is a point on side BC, triangleABC such that AD. AC (se...

    Text Solution

    |

  18. Show that in a right angled triangle, the hypotenuse is the longest si...

    Text Solution

    |

  19. In the given figure, angleBltangleA and angleCltangleD. Show that ADlt...

    Text Solution

    |

  20. AB and CD are respectively the small est and longest sides of a quadri...

    Text Solution

    |