Home
Class 10
MATHS
ABC is an isosceles triangle right angl...

ABC is an isosceles triangle right angled at C. Prove that `A B^2=2A C^2`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT CORNER ( TEXTBOOK QUESTIONS) ( EXERCISE - 6.6 ) |12 Videos
  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR ( EXERCISE - 6.1 ) |12 Videos
  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT CORNER ( TEXTBOOK QUESTIONS) ( EXERCISE - 6.4 ) |9 Videos
  • SURFACE AREAS AND VOLUMES

    OSWAL PUBLICATION|Exercise BOARD CORNER (LONG ANSWER TYPE QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

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

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

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

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

ABC is an isosceles right-triangle right angled at C such that AC=5cm .Then,AB=2.5cm(b)5sqrt(2)cm10cm(d)5cm

In figure ABC is an isosceles triangle , right angled at C . Therefore

In the given figure, triangle ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.

ABC is a right isosceles triangle, right angled at B. Then sin^(2)A+cos^(2)C = _________

A statements of Assertion (A) is followed by a statement of Reason (R ). Mark the correct choice as. Assertion (A): ABC is an isoseles triangle right triangle , right angled at C. Then AB^(2) = 3AC^(2) . Reason (R ): In an isosceles triangle ABC if AC = BC and AB^(2) = 2AC^(2) then angle C = 90^(@) .

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

OSWAL PUBLICATION-TRIANGLES-NCERT CORNER ( TEXTBOOK QUESTIONS) ( EXERCISE - 6.5 )
  1. Sides of triangles are given below. Determine which of them are right ...

    Text Solution

    |

  2. PQR is a triangle right angled at P and M is a point on QR such that ...

    Text Solution

    |

  3. In the figure given below ABC is a triangle right angled at A and AC b...

    Text Solution

    |

  4. In the figure given below ABC is a triangle right angled at A and AC b...

    Text Solution

    |

  5. In the figure given below ABC is a triangle right angled at A and AC b...

    Text Solution

    |

  6. ABC is an isosceles triangle right angled at C. Prove that A B^2=2A C...

    Text Solution

    |

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

    Text Solution

    |

  8. ABC is an equilateral triangle of side 2a. Find each of its altitudes...

    Text Solution

    |

  9. Prove that the sum of the squares of the sides of a rhombus is equa...

    Text Solution

    |

  10. In fig., O is a point in the interior of a triangle ABC, OD ⊥ BC, OE...

    Text Solution

    |

  11. In the figure given below O is a point in the interior of a triangle A...

    Text Solution

    |

  12. A ladder 10m long reaches a window 8 m above the ground. Find the d...

    Text Solution

    |

  13. A guy wire attached to a vertical pole of height 18m is 24m long an...

    Text Solution

    |

  14. An aeroplane leaves an airport and flies due north at a speed of 1000...

    Text Solution

    |

  15. Two poles of heights 6 m and 11m stand on a plane ground. If the di...

    Text Solution

    |

  16. D and E are points on the sides CA and CB respectively of a triangle ...

    Text Solution

    |

  17. The perpendicular from A on side BC of a ABC intersects BC at D such t...

    Text Solution

    |

  18. In an equilateral triangle ABC, D is a point on side BC such that B D=...

    Text Solution

    |

  19. In an equilateral triangle, prove that three times the square of on...

    Text Solution

    |

  20. Tick the correct answer and justify : In DeltaPQR , PQ = 6sqrt(3) cm ...

    Text Solution

    |