Home
Class 14
MATHS
DeltaABC is an isosceles triangle with A...

`DeltaABC` is an isosceles triangle with `AB=AC`, side BA is produced to D such that AB=AD. Prove that `angleBCD` is a right angle.

A

`60^@`

B

`90^@`

C

`120^@`

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
B
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

abc is an isosceles triangle with AB=AC . Side BA is produced to D such that AB=AD. Prove that /_BCD is a right angle

Delta ABC, AB = AC and BA is produced to D such that AC = AD. Then the angleBCD is

ABC is an isosceles triangle with AB=AC and D is a pooint on AC such that BC^(2)=ACxCD .Prove that BD=BC

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: angleB=angleC

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. Also, D is a point such that BD = CD. Prove that AD bisects /_ A and /_D

DeltaABC is an isosceles triangle with AB=AC=13cm . AD is the median on BC from A such that AD=12cm . The length of BC is equal to :

triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) . Prove that triangle ABC is a right triangle.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. In the DeltaABC, BD bisects angleB, and is prpendicular to AC. If the ...

    Text Solution

    |

  2. In the following figure ADBC, BD=CD=AC, angleABC=27^(@), angleACD=y. ...

    Text Solution

    |

  3. DeltaABC is an isosceles triangle with AB=AC, side BA is produced to D...

    Text Solution

    |

  4. In DeltaABC, AC=5cm. Calculate the length of AE where DE||BC. Given th...

    Text Solution

    |

  5. In DeltaPQR, QP=2sqrt2cm, AQ=3sqrt2cm and PR = 10 cm, AB||QR. Find the...

    Text Solution

    |

  6. In the adjoining figure (not drawn to scale) AB, EF and CD are paralle...

    Text Solution

    |

  7. Find S.I on Rs. 5400 at 5 2/3% p.a for 6 months

    Text Solution

    |

  8. In the ajoining figure the angle BAC and angleADB are right angles . ...

    Text Solution

    |

  9. The areas of the similar triangles are the ratio of 25:36. What is the...

    Text Solution

    |

  10. In the given diagram AB||CD, then which one of the following is true?

    Text Solution

    |

  11. The bisector of the exterior angleA of DeltaABC intersects the side BC...

    Text Solution

    |

  12. The diagonal BD of a quadrilateral ABCD bisects angleB and angleD, the...

    Text Solution

    |

  13. match the following list of microbes and their importance :

    Text Solution

    |

  14. A man goes 150 m due east and then 200 m due north. How far is he from...

    Text Solution

    |

  15. From a point O in the interior of a DeltaABC perpendiculars OD, OE and...

    Text Solution

    |

  16. In an equilateral triangle ABC, the side BC is trisected at D. Find th...

    Text Solution

    |

  17. ABC is a triangle in which ∠A=90∘ , AN⊥BC, BC=12 cm and AC=5 cm. Find ...

    Text Solution

    |

  18. A vertical stick 15 cm long casts it shodow 10 cm long on the gound. A...

    Text Solution

    |

  19. Vertical angles of two isoceles triangles are equal. Then correspondin...

    Text Solution

    |

  20. In the figure DeltaABC~DeltaPQ. If BC=8cm, PQ=4cm, AP=2.8cm, find CA :

    Text Solution

    |