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

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

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    BEYOND PUBLICATION|Exercise EXERCISE|143 Videos
  • SETS

    BEYOND PUBLICATION|Exercise EXERCISE|247 Videos
  • STATISTICS

    BEYOND PUBLICATION|Exercise EXERCISE|141 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of /_\ABE and /_\ACD .

ABC is an isosceles Triangle and angleB=90^@ , then show that AC^2=2AB^2 .

In the figure, DeltaABC is an isosceles triangle right angled at B. Two equilateral triangles are constructed with sides AC and BC. Then DeltaBCD =

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^2+CM^2)=5BC^2 .

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

Angles in an isosceles Right triangle are

ABC is a right angled triangle, right angled at C. Let BC=a, CA=b,AB=c and let p be the length of perpendicular from C on AB. Prove that (i) pc=ab and (ii) 1/p^2=1/a^2+1/b^2 .

ABC is a right angled triangle which is right angled at C. Let AB=c, BC=a, CA=b and let p be the length of perpendicular from C and AB. Prove that c=(ab)/p .

DeltaABC is an isosceles triangle angleC=90^@ then AB^2 =…………..

BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. The perimeters of two similar triangle are 30 cm and 20 cm respectivel...

    Text Solution

    |

  2. The areas of two similar triangle are 81cm^2 and 49cm^2 respectively. ...

    Text Solution

    |

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

    Text Solution

    |

  4. The diagonal AC of a parallelogram ABCD intersects DP at the point Q,...

    Text Solution

    |

  5. In the following figure, DE//BC then x =

    Text Solution

    |

  6. The areas of two similar triangle are 25cm^2 and 36cm^2. IF the median...

    Text Solution

    |

  7. In traingle ABC, AD bisects angle A, AB = 5 cm, BD = 8 cm and DC = 6 c...

    Text Solution

    |

  8. DeltaABC and DeltaBDE are two equilateral triangles such that D is the...

    Text Solution

    |

  9. In a right triangle

    Text Solution

    |

  10. IF in two triangles , corresponding sides are in the same ratio then t...

    Text Solution

    |

  11. The areas of two similar triangles are 36cm^2 and 64cm^2. IF one side ...

    Text Solution

    |

  12. In the figure, D,E are mid-points of AB and AC then triangle ADE: squa...

    Text Solution

    |

  13. The sides PQ and PR of right triangle PQR are such that PQ=5cm, PR=13c...

    Text Solution

    |

  14. In the figure, D,E are the midpoints of the sides AB and AC. If DE = 4...

    Text Solution

    |

  15. The diagonals of a rhombus are 24 cm and 32cm, then its perimeter is

    Text Solution

    |

  16. DeltaABC~DeltaPQR, M is the midpoint of BC and N is the midpoint of QR...

    Text Solution

    |

  17. All circles are……….

    Text Solution

    |

  18. All squares are…….

    Text Solution

    |

  19. What value(s) of x will make DE || AB, in the given figure ? AD...

    Text Solution

    |

  20. In triangle ABC,DE | | AB and AD= 9 + 8x, DC = 3 + x, CB = 4 + 3x, E...

    Text Solution

    |