Home
Class 10
MATHS
ABC is a right angled triangle with ABC ...

ABC is a right angled triangle with `ABC = 90^@`. D is any point on AB and DE is perpendicular to AC. Prove that:

`DeltaADE~DeltaACB`. 

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 Videos
  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos
  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

ABC is a right angled triangle with angleABC=90^(@) , D is any point on AB and DE is perpendicular to AC. Prove that : (i) DeltaADE~DeltaACB .

ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: Find, area of AADE: area of quadrilateral BCED.

ABC is a right angled triangle with ABC = 90^@ . D is any point on AB and DE is perpendicular to AC. Prove that: If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD.

ABC is a right angled triangle with angleABC=90^(@) , D is any point on AB and DE is perpendicular to AC. Prove that : (iii) Find area of Delta ADE : area of quadrilateral BCED.If AC = 13 cm, BC = 5 cm and AE = 4 cm.

ABC is a right angled triangle with angleABC=90^(@) , D is any point on AB and DE is perpendicular to AC. (ii) If AC = 13 cm, BC = 5 cm and AE = 4 cm. Find DE and AD.

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

The following figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that DeltaAMC~=DeltaANB

The following figure shows a triangle ABC in which AB=AC. M is a point on AB and N is a point on AC such that BM = CN. Prove that DeltaBMC~=DeltaCNB

In triangle ABC, AB=AC and BD is perpendicular to AC. Prove that : BD^(2)-CD^(2)=2CDxxAD

ABC is a triangle, right angled at B. If BCDE is a square on side BC and ACFG is a square on AC, prove that AD = BF.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  2. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  3. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  4. The following figure shows a triangle ABC in which AD and BE are perpe...

    Text Solution

    |

  5. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |

  6. In the given figure, ABC is a triangle with /EDB = /ACB. Prove that De...

    Text Solution

    |

  7. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  8. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  9. In the given figure, ABC is a right angled triangle with /BAC = 90^@. ...

    Text Solution

    |

  10. In the given figure, AB and DE are perpendiculars to BC Prove that...

    Text Solution

    |

  11. In the given figure, AB and DE are perpendiculars to BC If AB = 6...

    Text Solution

    |

  12. In the given figure, AB and DE are perpendiculars to BC Find the ...

    Text Solution

    |

  13. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  14. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  15. ABC is a right angled triangle with ABC = 90^@. D is any point on AB a...

    Text Solution

    |

  16. Given : AB // DE and BC // EF. Prove that: (AD)/(DG) = (CF)/(FG)

    Text Solution

    |

  17. Given : AB // DE and BC // EF. Prove that: DeltaDFG ~ DeltaACG.

    Text Solution

    |

  18. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |

  19. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |

  20. PQR is a triangle. S is a point on the side QR of DeltaPQR such that ...

    Text Solution

    |