Home
Class 10
MATHS
In a triangle A B C ,\ \ A D|B C and A ...

In a ` triangle A B C ,\ \ A D_|_B C` and `A D^2=B DxxC Ddot` Prove that ` A B C` is a right triangle.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Figure, if A D_|_B C and (B D)/(D A)=(D A)/(D C) , prove that A B C is a right triangle.

In an equilateral triangle A B C if A D_|_B C , then

A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , prove that A B C is right triangle.

In Figure, A D_|_B C and B D=1/3C Ddot Prove that 2C A^2=2A B^2+B C^2

In an isosceles triangle A B C with A B=A C and B D_|_A Cdot Prove that B D^2-C D^2=2C DdotA Ddot

In a triangle A B C median A D is produced to X such that A D=D Xdot Prove that A B X C is a parallelogram.

In a triangle A B C median A D is produced to X such that A D=D Xdot Prove that A B X C is a parallelogram.

In a triangle A B C median A D is produced to X such that A D=D Xdot Prove that A B X C is a parallelogram.

In a rectangle A B C D , prove that A C B~= C A Ddot

\ ABC is an isosceles triangle with A B=A C . Side B A is produced to D such that A B=A D . Prove that /_B C D is a right angle.

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In a triangle A B C ,\ A C > A B , D is the mid-point of B C and A...

    Text Solution

    |

  2. In an equilateral triangle A B C the side B C is trisected at D ...

    Text Solution

    |

  3. In a triangle A B C ,\ \ A D|B C and A D^2=B DxxC Ddot Prove that A ...

    Text Solution

    |

  4. P and Q are points on the sides C A and C B respectively of A B C, ri...

    Text Solution

    |

  5. A B C is an isosceles triangle with A C=B C . If A B^2=2\ A C^2 , p...

    Text Solution

    |

  6. In P Q R ,\ \ Q M|P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P M...

    Text Solution

    |

  7. Prove that the sum of the squares of the diagonals of parallelogram...

    Text Solution

    |

  8. In a right triangle A B C right-angled at C ,\ P and Q are the p...

    Text Solution

    |

  9. If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine ...

    Text Solution

    |

  10. The sides of certain triangles are given below. Determine which of t...

    Text Solution

    |

  11. A man goes 15 metres due west and then 8 metres due north. How far ...

    Text Solution

    |

  12. A ladder 17m long reaches a window of a building 15m above the grou...

    Text Solution

    |

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

    Text Solution

    |

  14. In an isosceles triangle A B C ,\ A B=A C=25 c m ,\ \ B C=14 c m . ...

    Text Solution

    |

  15. The foot of a ladder is 6m away from a wall and its top reaches a w...

    Text Solution

    |

  16. Two poles of height 9m and 14m stand on a plane ground. If the dist...

    Text Solution

    |

  17. Using Pythagoras theorem determine the length of A D in terms of b...

    Text Solution

    |

  18. A triangle has sides 5cm, 12cm and 13cm. Find the length to one dec...

    Text Solution

    |

  19. A B C D is a square. F is the mid-point of A Bdot B E is one ...

    Text Solution

    |

  20. In an isosceles triangle A B C , if A B=A C=13 cm and the altitu...

    Text Solution

    |