Home
Class 10
MATHS
D and E are points on the sides CA and C...

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).`

Text Solution

Verified by Experts

The correct Answer is:
`AB^(2) + DE^(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

D and E are points on sides AB and AC respectively of tirangle ABC such that ar (DBC) = ar (EBC) . Prove that DE || BC

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

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

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

ABCD is a rhombus. Prove that AC^(2) + BD^(2) = 4 AB^(2)

If D, E and F are three points on the sides BC, CA and AB, respectively, of a triangle ABC such that the lines AD, BE and CF are concurrent, then show that " "(BD)/(CD)*(CE)/(AE)*(AF)/(BF)=-1

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

If the veactors veca, vecb and vecc form the sides BC,CA and AB respectively of triangle ABC, then :

D is a point on the side BC of a triangle ABC such that angleADC=angleBAC . Show CA^(2)=CB.CD

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

    |