Home
Class 9
MATHS
ABC is an isosceles triangle in which ...

ABC is an isosceles triangle in which `A B""=" "A C` . Side BA is produced to D such that `A D" "=" "A B` (see Fig. 7.34). Show that `/_B C D` is a right angle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

\ ABC is an isosceles triangle with A B=A C . Side B A is produced to D such that A B=A D . Prove that /_B C D is a right angle.

In an isosceles triangle ABC with A B = A C , D and E are points on BCsuch that B E = C D (see Fig. 7.29). Show that A D= A E

D is a point on side BC of DeltaA B C such that A D\ =\ A C (see Fig. 7.47).Show that A B\ >\ A D .

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CxC Ddot Prove that B D=B C

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CXC D . Prove that B D=B C .

ABC is an isosceles triangle in which A B =A C . AD bisects exterior angle PAC and C D ||A B . Show that(i) /_D A C =/_B C A and (ii) ABCD is a parallelogram.

In a triangle A B C , if A B=A C\ a n d\ A B is produced to D such that B D=B C , find /_A C D\ :\ /_A D C

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

ABC and DBC are two isosceles triangles on the same base BC (see Fig. 7.33). Show that /_A B D\ =/_A C D

A B C is a right angled triangle in which /_A=90^0a n d\ A B=A Cdot Find /_B\ a n d\ /_C

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A B=A CdotB E and C F are respectively the bisectors of /B ...

    Text Solution

    |

  2. ABC is an isosceles triangle in which A B""=" "A C . Side BA is pr...

    Text Solution

    |

  3. If any two angles and a non-included side of one triangle are equal ...

    Text Solution

    |

  4. B D and C E are bisectors of /B and /C of an isosceles A B C with A B...

    Text Solution

    |

  5. Two lines A B and C D intersect at O such that B C is equal and parall...

    Text Solution

    |

  6. In Figure, A C=B C ,/D C A=/E C B and /D B C=/E A Cdot Prove that tria...

    Text Solution

    |

  7. If the bisector of the vertical angle of a triangle bisects the base...

    Text Solution

    |

  8. In an isosceles triangle altitude from the vertex bisects the base....

    Text Solution

    |

  9. If the altitude from one vertex of a triangle bisects the opposite ...

    Text Solution

    |

  10. Angles opposite to two equal sides of a triangle are equal. GIVEN :...

    Text Solution

    |

  11. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  12. In A B C , side A B is produced to D so that B D=b cdot If /B=60^0 an...

    Text Solution

    |

  13. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  14. In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S i...

    Text Solution

    |

  15. GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S ...

    Text Solution

    |

  16. In Figure, A B and CD are respectively the smallest and longest side...

    Text Solution

    |

  17. Of all the line segments drawn from a point P to a line m not containi...

    Text Solution

    |

  18. In Figure, A D is a median and B L ,C M are perpendiculars drawn from ...

    Text Solution

    |

  19. In Figure, B M and D N are both perpendiculars to the segments A C and...

    Text Solution

    |

  20. If A B C is an isosceles triangle with A B=A C . Prove that the ...

    Text Solution

    |