Home
Class 10
MATHS
In the given figure, ABD is a triangle r...

In the given figure, ABD is a triangle right angled at A and `AC bot BD`. Show that
`AD^(2)= BD*CD`

Text Solution

Verified by Experts

The correct Answer is:
`AD^(2)= BD*CD`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.6|15 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|29 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.4|9 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AC^(2)= BC*DC

In the given figure, ABD is a Deltaright angled at A and AC bot BD . Show that AB^(2)= BC*BD

ABD is a triangle right angled at A and AC bot BD Show that (i) AB^(2) = BC .BD. (ii) AC^(2) = BC.DC (iii) AD^(2) = BD .CD.

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In the given figure, AD is a median of a DeltaABC and AM bot BC . Prove that : AC^(2)= AD^(2)+BC*DM+((BC)/(2))^(2)

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

In the given figure, AD is a median of a DeltaABC and AM bot BC . Prove that : AB^(2)= AD^(2)-BC*DM+((BC)/(2))^(2)

In the given figure, angle B lt angle A and angle C lt angle D . Show that AD lt BC.

In the given figure, ABC is a Deltain which /_ABC lt 90^(@)" and "AD bot BC . Prove that AC^(2)= AB^(2)+BC^(2)-2BC*BD

In the given figure, AD is a median of a DeltaABC and AM bot BC . Prove that : AC^(2)+AB^(2)= 2AD^(2)+(1)/(2) BC^(2)

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.5
  1. Sides of triangles are given below, Determine which of them are right ...

    Text Solution

    |

  2. PQR is a Deltaright angled at P and M is a point on QR such that PM bo...

    Text Solution

    |

  3. In the given figure, ABD is a Deltaright angled at A and AC bot BD. Sh...

    Text Solution

    |

  4. In the given figure, ABD is a triangle right angled at A and AC bot BD...

    Text Solution

    |

  5. In the given figure, ABD is a triangle right angled at A and AC bot BD...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. ABC is an equilateral triangle of side 2a. Find each of its altitude.

    Text Solution

    |

  9. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  10. In the given figure, O is a point in the interior of a DeltaABC, OD bo...

    Text Solution

    |

  11. In the given figure, O is a point in the interior of a DeltaABC, OD bo...

    Text Solution

    |

  12. A ladder 10 m long reaches a window 8 m above the ground. Find the dis...

    Text Solution

    |

  13. A guy wire attached to a vertical pole of height 18 m is 24 m long and...

    Text Solution

    |

  14. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

    Text Solution

    |

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

    Text Solution

    |

  16. D and E are points on the sides CA and CB respectively of a DeltaABC r...

    Text Solution

    |

  17. The perpendicular from A on side BC of a DeltaABC intersects BC at D s...

    Text Solution

    |

  18. In an equilateral triangle ABC, D is a point on side BC such that BD= ...

    Text Solution

    |

  19. In an equilateral triangle, prove that three times the square of one s...

    Text Solution

    |

  20. Tick the correct answer and justify : In DeltaABC, AB= 6 sqrt(3), AC= ...

    Text Solution

    |