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

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

Text Solution

Verified by Experts

The correct Answer is:
`2AC^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.6)|10 Videos
  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.4)|8 Videos
  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|5 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle right angled at A. forces of magnitude 2sqrt(2),5 and 6 act along BC, CA and AB respectively. The magnitude of their resultant force is

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

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AB^(2)=BC.BD

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AC^(2)=BC . DC

D and E are points on the sides CA and CB respectively of a triangle ABC right angale at C. prove that AE^(2)+BD^(2)=AB^(2)+DE^(2).

In Fig. ABD is a triangle right angled at A and AC bot BD show that (i) AB^(2) =BC . BD , (ii) AC^(2) = BC . DC , (iii) AD^(2) = BD . CD

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

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

OSWAAL PUBLICATION-TRIANGLES-TEXTBOOK CORNER (EXERCISE 2.5)
  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 P...

    Text Solution

    |

  3. In Fig. ABD is a triangle right angled at A and AC bot BD show that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that sum of the squares of the side of a rhombus is equal to th...

    Text Solution

    |

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

    Text Solution

    |

  9. A ladder 10 m long reaches a window 8 m above the ground. Find the di...

    Text Solution

    |

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

    Text Solution

    |

  11. An aeroplane leaves an airpot and flies due north at a speed of 1,000 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The perpendicular from A on side BC of a DeltaABC intersects BC at D...

    Text Solution

    |

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

    Text Solution

    |

  16. In an equilateral triangle , prove that three times the square pf one ...

    Text Solution

    |

  17. Tick the correct answer and justify : In DeltaABC,AB=6sqrt3cm, AC=12 c...

    Text Solution

    |