Home
Class 14
MATHS
DeltaABC is right angle triangle, where ...

`DeltaABC` is right angle triangle, where `angleB=90^(@)`. D and E lies on sides AB and BC respectively, find the value of `AC^(2)+DE^(2)`?

A

`AB^(2)+BC^(2)`

B

`AE^(2)+CD^(2)`

C

`AD^(2)+BC^(2)`

D

`AB^(2)+EC^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

ABC is a right angled triangle in which angleB=90^(@) and AB=BC . Find angleA and angleC .

DeltaABC is a right angled triangle, where angle ABC = 90^@ ,If AC = 2sqrt5 and AB - BC =2 , then the value of cos^2 A - sin^2C is

ABC is a right triangle right-angled at B.Let D and E be any points on AB and BC respectively.Prove that AE^(2)+CD^(2)=AC^(2)+DE^(2)

DeltaABC is right angle triangle where angleABC=90^(@) and BN is perpendicular to AC. Here, AB= 6 cm., AC = 10 cm. then find AN : NC?

In the given figure ABC is a right angled triangle with angleB=90^(@) . D is the mid -point of BC . Show that AC^(2) = AD^(2) +3CD^(2) .

The following figure shows a right-angled triangle ABC with /_B=90^(@),AB=15cm and AC=25cm.D is a point in side BC and CD=7cm. If DE perp AC, find the length of DE.

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. In the adjoining figure PR||AB, PQ||BC and QR||AC. Then what is the re...

    Text Solution

    |

  2. In DeltaABC, bisector of angleA intersects BC at D. If AB = 4 cm, AC =...

    Text Solution

    |

  3. DeltaABC is right angle triangle, where angleB=90^(@). D and E lies on...

    Text Solution

    |

  4. DeltaABC is an acute angle triangle. AD is perpendiculra on BC and DB ...

    Text Solution

    |

  5. DeltaABC is an isosceles triangle. AB = AC and BD is perpendicular on ...

    Text Solution

    |

  6. In DeltaABC, angleB and angleC are acute angles. BE and CF are perpend...

    Text Solution

    |

  7. DeltaABC is an equilateral triangle. D divides BC in the ratio 1 : 2. ...

    Text Solution

    |

  8. Let two chords AB and AC of the larger circle having same centre touch...

    Text Solution

    |

  9. DeltaABC is a acute angle triangle angleA-angleC=33^(@),O is circumcen...

    Text Solution

    |

  10. G is centroid of given DeltaABC GN = 4 cm, GM = 3 cm, angle BGA=90^(@)...

    Text Solution

    |

  11. In given diagram Q is the circumcenter of DeltaABC and O is the circum...

    Text Solution

    |

  12. In the given diagram AB is tangent. AC and CD are diameter of bigger a...

    Text Solution

    |

  13. AB is the diameter of a circle whose centre is O. DC is a chord of tha...

    Text Solution

    |

  14. AB is the diameter of a circle which centre is O. DC is a chord where ...

    Text Solution

    |

  15. ABCD is a rectangle given in above figure in which AD = 4 unit and AE ...

    Text Solution

    |

  16. A circle touches all sides of quadrilateral ABCD then which one of the...

    Text Solution

    |

  17. The centres of circles whose radii are 7 cm & 9 cm are O and O(1) resp...

    Text Solution

    |

  18. DeltaPQR is right angled at Q. If x & y are the mid-points of sides PQ...

    Text Solution

    |

  19. AOBD is a quadrilateral in which angleAOB=angleABD=90^(@) and angleDAB...

    Text Solution

    |

  20. ABCD is a cyclic quadrilateral whose diagonals intersect each other at...

    Text Solution

    |