Home
Class 10
MATHS
In the figure ABD is a triangle right-an...

In the figure ABD is a triangle right-angled at A and `AC_|_BD`. Show that
i] `AB^(2)=BC.BD`
ii] `AC^(2)=BC.DC`
iii] `AD^(2)=BD.CD`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -MULTIPLE-CHOICE QUESTIONS|11 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - VERY SHORT ANSWER QUESTIONS|10 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.4)|9 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos

Similar Questions

Explore conceptually related problems

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AB^(2)=BC.BD

In Fig , ABD is a triangle right angled at A and AC bot BD. show that AC^(2)=BC . DC

In Fig. 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 Fig , ABD is a triangle right angled at A and AC bot BD. show that 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 an equilateral triangle ABC, AD _|_ BC . Prove that : AB^(2) + CD^(2) = 5/4 AC^(2)

ABC is an isosceles triangle with AB = AC. Draw AP _|_ BC to show that A = B.

In Fig . ABC is a triangle in which angleABClt90^(@)and AD botBC. Prove that AC^(2)=AB^(2)+BC^(2)-2BC.BD.

In Fig , ABC is a triangle in which angleABCgt90^(@) and AD bot CB, produced . Prove that AC^(2)=AB^(2)+BC^(2)+2BC.BD

ZEN PUBLICATION-TRIANGLES-TEXTUAL EXERCISES (EXERCISE 2.5)
  1. Sides of triangles are given below. Determine which of them are right ...

    Text Solution

    |

  2. PQR is a triangle right angled at P and M is a point on QR such that P...

    Text Solution

    |

  3. In the figure ABD is a triangle right-angled at A and AC|BD. Show that...

    Text Solution

    |

  4. ABC is an isosceles triangle right-angled at C. Prove that AB^(2)=2AC^...

    Text Solution

    |

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

    Text Solution

    |

  6. ABC is an equilateral triangle of side 2a. Find each of its altitudes.

    Text Solution

    |

  7. Prove that sum of the squares of the side of a rhombus is equal to th...

    Text Solution

    |

  8. In the figure given below, O is point in the interior of a triangle A...

    Text Solution

    |

  9. A ladder 10 m long reaches a window 8 m above the ground. Find the di...

    Text Solution

    |

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

    Text Solution

    |

  11. An aeroplane leaves an airport and files due north at a speed of 1000...

    Text Solution

    |

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

    Text Solution

    |

  13. D and E are points on the sides CA and CB respectively of a triangle A...

    Text Solution

    |

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

    Text Solution

    |

  15. In an equilateral triangle ABC, D is a point on BC such that BD=1/3BC....

    Text Solution

    |

  16. In an equilateral triangle prove that three times the square of one si...

    Text Solution

    |

  17. Tick the correct answer and justify : In DeltaABC,AB=6sqrt3cm, AC=12 c...

    Text Solution

    |