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

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

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • SURFACE AREAS AND VOLUMES

    MODERN PUBLICATION|Exercise EXERCISE|228 Videos

Similar Questions

Explore conceptually related problems

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

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

triangleABC is an equilateral triangle angle BEC

In triangleABC , if the AD is a bisector of angleA show that AB>BD and AC>CD

In the fig. AC>AB and AD is the bisector of angleA show that angleADC>angleADB

ABC is a triangle in which BE and CF are perpendiculars to AC and AB respectively. If BE=CF, prove that triangleABC is isosceles.

In Delta ABC , the bisector AD of angle A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and Delta ABC 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.

ABC is a triangle in which altitudes BE and CF on sides AC and AB are equal that: ABAC, i.e. triangleABC is na isosceles triangle.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that AD bisects BC.

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In triangleABC, AD is the perpendicular bisector of BC. Show that tria...

    Text Solution

    |

  2. PQR is a triangle in which PQ=PR and S is any point on the side PQ. Th...

    Text Solution

    |

  3. In an isosclees triangle ABC, with AB = AC, the bisectors of angleB an...

    Text Solution

    |

  4. P is a point on the bisector of an angle angleABC. If the line through...

    Text Solution

    |

  5. ABC is a right angled triangle in which angleA = 90^@ and AB = AC. Fin...

    Text Solution

    |

  6. In the fig. RT=TS, angle1=2angle2 and angle4=2angle3. Prove that trian...

    Text Solution

    |

  7. In the fig AB=CD and AD=BC. Prove that triangleADCequivtriangleCBA

    Text Solution

    |

  8. In trianglePQR, S is the point on the side QR. Prove that PQ+QR+RP>2PS

    Text Solution

    |

  9. In the given fig. O is the point of each of the line segment AB and CD...

    Text Solution

    |

  10. In the given figure PA bot AB, QB bot AB and PA=QB intersects AB at O,...

    Text Solution

    |

  11. In the fig. X and Y are respectively two points on equal sides AB and ...

    Text Solution

    |

  12. In the fig. C is the mid point of AB. If angleDCA=angleECB and angleDB...

    Text Solution

    |

  13. In the fig. BAbotAC and DEbotEF such that BA=DE and BF=DC. Prove that ...

    Text Solution

    |

  14. In the fig. AD is a median of triangleABC. If BL and CM are drawn perp...

    Text Solution

    |

  15. In the fig. triangle AB=AC and bisectors of angleB and angleC meet at ...

    Text Solution

    |

  16. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  17. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  18. Prove that the median from the vertex of an isosceles triangle is the ...

    Text Solution

    |

  19. In the fig. ABCD is square and P is a point on such that PB=PD. Prove ...

    Text Solution

    |

  20. In the fig. :ABCD is a quadrilateral in which AD=AB and BC=DC. Prove t...

    Text Solution

    |

  21. In the fig. :ABCD is a quadrilateral in which AD and BC=DC. Prove that...

    Text Solution

    |