Home
Class 7
MATHS
If DeltaA B C is an isosceles triangle ...

If `DeltaA B C` is an isosceles triangle such that `A B=A C ,\ ` then altitude `A D` from `A` on `B C` bisects `B C` (Fig.43).

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|137 Videos
  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|36 Videos

Similar Questions

Explore conceptually related problems

In an isosceles triangle A B C , if A B=A C=13 cm and the altitude from A on B C is 5 cm, find B C .

If A B C is an isosceles triangle and D is a point on B C such that A D_|_B C then,

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

In an isosceles triangle altitude from the vertex bisects the base. GIVEN : An isosceles triangle A B C such that A B=A C and an altitude A D from A on side B Cdot TO PROVE : D bisects B C i.e. B D=D Cdot Figure

In an isosceles triangle A B C ,\ A B=A C=25 c m ,\ \ B C=14 c m . Calculate the altitude from A on B C .

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

In figure A B C is an isosceles triangle such that A B=A C\ a n d\ A D is the median to base B C . Then, /_B A D= 55^0 (b) 70^0 (c) 35^0 (d) 110^0

ABC is an isosceles triangle with A B =\ A C . Draw A P_|_B C to show that /_B =/_C.

A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , prove that A B C is right triangle.

RD SHARMA ENGLISH-CONGRUENCE-All Questions
  1. In Fig.31, A B=A D\ a n d\ /B A C=/D A C State in symbolic form the ...

    Text Solution

    |

  2. In figure, A B|| D C\ a n d\ A B=D Cdot (i)IsDeltaA C D~=DeltaC A B ?...

    Text Solution

    |

  3. Fig.33, the measure of some parts are indicated along side. By apply...

    Text Solution

    |

  4. Which of the following pairs of triangle are congruent? A B C : A B...

    Text Solution

    |

  5. Which of the following pairs of triangle are congruent by ASA condi...

    Text Solution

    |

  6. In Fig.37, A D bisects /A and A D|\ B Cdot IsDeltaA D B~=DeltaA D C ?...

    Text Solution

    |

  7. Draw any triangle A B C. Use A S A\ condition to construct another ...

    Text Solution

    |

  8. InDeltaA B C , it is known that/B=/Cdot Imagine you have another co...

    Text Solution

    |

  9. In Fig.38, A X bisects/B A C as well as/B D Cdot State the three facts...

    Text Solution

    |

  10. In Fig.39, A O=O B and/A=/B. (i) IsDeltaA O C~=DeltaB O D ? (ii) Sta...

    Text Solution

    |

  11. In each of the following pairs of right triangles, the measure of s...

    Text Solution

    |

  12. In Fig.42, P L|O B and P M|O A such that P L=P M . Is DeltaP M O ? Giv...

    Text Solution

    |

  13. If DeltaA B C is an isosceles triangle such that A B=A C ,\ then a...

    Text Solution

    |

  14. In Fig.44, it is given that L M=M N ,\ Q M=M R ,\ M L|P Q\ and\ ...

    Text Solution

    |

  15. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

    Text Solution

    |

  16. In each of the following pairs of right triangles, the measure of s...

    Text Solution

    |

  17. DeltaA B C is isosceles with A B=A Cdot\ A D is the altitude from A\ o...

    Text Solution

    |

  18. DeltaA B C is isosceles with A B=A Cdot Also. A D|B C meeting B C in D...

    Text Solution

    |

  19. Draw a right triangle A B C . Use RHS condition to construct anothe...

    Text Solution

    |

  20. In Fig.47, B D\ a n d\ C E are altitudes ofDeltaA B C and B D=C Edot ...

    Text Solution

    |