Home
Class 10
MATHS
ABC is an isosceles triangle with AC = ...

ABC is an isosceles triangle with AC = BC. If `A B^2=2A C^2`, prove that ABC is a right triangle.

A

A

B

B

C

C

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Multiple Choice Questions) (LEVEL -2) |15 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Match the following )|3 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6 .6|12 Videos

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle with AC = BC. If AB^2 - 2AC^2 =0, prove that ABC is right triangle.

ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2), prove that ABC is right triangle.

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

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

In a ABC,AD perp BC and AD^(2)=BD xx CD prove that ABC is a right triangle.

In a ABC, AD perp BC and AD^(2)=BD xx CD .Prove that ABC is a right triangle.

ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2AC^(2)

triangle ABC and triangle DBC are isosceles triangles on the same base BC. Prove that line AD bisects BC at right angles

ABC is an isosceles right triangle right- angled at C. Prove that AB^(2)=2AC^(2)

MTG IIT JEE FOUNDATION-TRIANGLES - Exercise (Multiple Choice Questions) (LEVEL -1 )
  1. Let ABC be an equilateral triangel. Let BE|CA meeting CA at E, then (A...

    Text Solution

    |

  2. A right triangle has hypotenuse of length p\ c m and one side of...

    Text Solution

    |

  3. ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2, prove tha...

    Text Solution

    |

  4. DeltaABC is a right triangle , right angled at A and ADbotBC . If AB...

    Text Solution

    |

  5. Delta ABC is right-angled at A and AD bot BC. If BC=13 cm and AC=5 cm,...

    Text Solution

    |

  6. L and M are the mid points of AB and BC respectively of DeltaABC , r...

    Text Solution

    |

  7. In the given figure , x in terms of a , b and c is

    Text Solution

    |

  8. In figure, two line segments AC and BD intersects each other at the po...

    Text Solution

    |

  9. In the given figure , value of x is

    Text Solution

    |

  10. In the given figure , if (AB)/(AC)=(BD)/(CD) , then angleABD=

    Text Solution

    |

  11. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  12. PSR is a triangle right angled at s . D is the mid -point of SR .If t...

    Text Solution

    |

  13. An isosceles triangle has a 10 inches base and two 13 inches sides .W...

    Text Solution

    |

  14. If the ratio of the perimeter of two similar triangles is 4:25, then f...

    Text Solution

    |

  15. In DeltaABC,angleB=90^(@)andBDbotAC. If DC=7 cm and AD = 3 cm , then t...

    Text Solution

    |

  16. In which of the following options ,DE ||AB where D and E lie on the si...

    Text Solution

    |

  17. In the given figure , DeltaABC~DeltaPQR ,PM is median of DeltaPQR . I...

    Text Solution

    |

  18. In a rectangle ABCD , E is the mid -point of AB . If AB= 16 m and AD =...

    Text Solution

    |

  19. In the given figure , PQRS is a parallelogram with PQ = 16 cm and Q...

    Text Solution

    |

  20. The perimeters of two similar triangles are 30 cm and 20 cm . If one ...

    Text Solution

    |