Home
Class 10
MATHS
In DeltaABC, AD bot BC, point D lies on ...

In `DeltaABC, AD bot BC`, point D lies on BC. If `AC^(2)=CD*BD`, prove that `/_BAC` is a right angle.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|20 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|37 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.6|15 Videos
  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

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

In triangle ABC, D is the midpoint of BC. DFZAB and DE bot AC, where points F and E lie on AB and AC respectively. If DF = DE, prove that A ABC is an isosceles triangle.

In the DeltaABC,AB=a,AC=c and BC=b , then

In triangleABC , point D lies on side BC. E is the midpoint of AD. Prove that, ar(EBC)= 1/2 ar(ABC)

In the given figure, if AC = BD, then prove that AB = CD.

In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt AD.

Fill in the blanks so as to make each of the following statements true : In DeltaABC , AD is the bisector of /_A and D lies on BC. If AB= 6 cm, AC= 5 cm and BD= 3 cm, then BC="……….."cm .

triangle ABC and triangle DBC are isosceles triangles on the same base BC. Prove that line AD bisects BC at right angles

In DeltaABC , D and E are points on the sides AB and AC respectively such that DE||BC . If AB= 6.75 cm, AC= 8.50 cm" and "EC = 6.80 cm . Then find BD.

In the given figure, D is a point on side BC of DeltaABC such that (BD)/(CD)=(AB)/(AC) . Prove that AD is the bisector of /_BAC .

KUMAR PRAKASHAN-TRIANGLES-TEST YOUR SKILLS
  1. In the given figure, if (EA)/(EC)=(EB)/(ED) prove that DeltaEAB ~ De...

    Text Solution

    |

  2. In the given figure, if (EA)/(EC)=(EB)/(ED) prove that AB||CD

    Text Solution

    |

  3. In the given figure, ABC and DBC are two triangles on the same base BC...

    Text Solution

    |

  4. In the given figure, DeltaABC is a right angled Deltawith /B= 90^(@) a...

    Text Solution

    |

  5. The areas of two similar triangles are 100 cm^(2)" and "49 cm^(2) resp...

    Text Solution

    |

  6. The areas of two similar triangles are 169 cm^(2)" and "121 cm^(2) res...

    Text Solution

    |

  7. ABC is a Deltaand PQ is a line intersecting AB at P and AC at Q. If AP...

    Text Solution

    |

  8. In DeltaPQR, /Q= 90^(@). Equilateral triangles APQ, BQR and CPR are de...

    Text Solution

    |

  9. Two isosceles triangles have equal vertical angles and their areas are...

    Text Solution

    |

  10. In DeltaABC, AD bot BC, point D lies on BC. If AC^(2)=CD*BD, prove tha...

    Text Solution

    |

  11. In the figure, AC is the length of a pole standing vertical on the gro...

    Text Solution

    |

  12. In DeltaABC, /A= 90^(@)" and "AD bot BC. Prove that (1)/(AD^2)=(1)/(AB...

    Text Solution

    |

  13. In an equilateral triangle with side a, prove that, the altitude is ...

    Text Solution

    |

  14. In an equilateral triangle with side a, prove that, the area of the ...

    Text Solution

    |

  15. BL and CM are medians of a DeltaABC right angled at A. Prove that 4(BL...

    Text Solution

    |

  16. ABC is a Deltain which /B gt 90^(@)" and "AD bot CB produced. Prove th...

    Text Solution

    |

  17. ABC is a Deltain which /B lt 90^(@)" and "AD bot CB. Prove that AC^(2...

    Text Solution

    |

  18. A ladder 15 m long reaches a window which is 9 m above the ground on o...

    Text Solution

    |

  19. Find the length of the longest stick that can be placed in a cuboidal ...

    Text Solution

    |

  20. The given figure shows the distances covered by Ariv from place a to p...

    Text Solution

    |