Home
Class 10
MATHS
In the adjoining figure, the vertices of...

In the adjoining figure, the vertices of square DEFG are on the sides of `DeltaABC`. If `angleA = 90^@`, then prove that `DE^2 = BD xx EC`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore DE^2 = BD xx EC`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    TARGET PUBLICATION|Exercise Activites for Practice|4 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Multiple Choice Questions|28 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Practice Set 1.4|7 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|21 Videos

Similar Questions

Explore conceptually related problems

In figure, the vertices, of square DEFG are on the sides of DeltaABC . /_A=90^(@) . Then prove that DE^(2)=BDxxEC .

In the adjoining figure, write the sides of DeltaABC in descending order of their length.

in the adjoining figure ABCD is a square of side 14 cm. Find the radius of the circle

In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of DeltaABC such that AX = AY. Prove that CX = BY.

In the adjoining figure, the circle is the incircle of isosceles DeltaABC , where seg AB = seg AC. Prove that M bisects BC.

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: BD = CD

In the adjoining figure, in DeltaABC , point D is on side BC such that, angleBAC = angleADC . Prove that, CA^2 = CB xx CD .

In the adjoining figure, BC = ED, then, prove that DeltaABC~=DeltaFDE .

In the adjoining figure, BD = DC and AE = ED. Prove that area of Delta ACE = (1)/(4) " area of " Delta ABC

In the adjoining figure, (i) Which side is smallest ? (ii) In DeltaABC , what is the nature of angleBAC ?

TARGET PUBLICATION-SIMILARITY -Problem Set - 1
  1. In DeltaABC and DeltaPQR, in a one to one correspondence. (AB)/(QR) ...

    Text Solution

    |

  2. If in DeltaDEF and DeltaPQR, angleD = angleQ, angleR =angleE, then whi...

    Text Solution

    |

  3. In DeltaABC and DeltaDEF, " " angleB = angleE, angleF = angleC and ...

    Text Solution

    |

  4. DeltaABC and DeltaDEF are equilateral triangles, A(DeltaABC) : A(Delta...

    Text Solution

    |

  5. In the adjoining figure, seg XY abs()seg BC, then which of the followi...

    Text Solution

    |

  6. In DeltaABC,B - D - C and BD = 7, BC = 20, then find the ratio. (A(D...

    Text Solution

    |

  7. In DeltaABC,B - D - C and BD = 7, BC = 20, then find the ratio (A(Del...

    Text Solution

    |

  8. In DeltaABC,B - D - C and BD = 7, BC = 20, then find following rations...

    Text Solution

    |

  9. Ratio of areas of two triangles with equal height is 2:3. If base of t...

    Text Solution

    |

  10. In the adjoining figure, angleABC = angleDCB = 90^@ , AB = 6 , DC = 8...

    Text Solution

    |

  11. In the adjoining figure, PM = 10 cm, A(DeltaPQS) = 100sq. cm, A(DeltaQ...

    Text Solution

    |

  12. DeltaMNT ~ DeltaQRS. Length of altitude drawn from point T is 5 and le...

    Text Solution

    |

  13. In the figure A-D-C and B-E-C seg DE|| side AB. If AD=5, DC=3, BC=6.4 ...

    Text Solution

    |

  14. In the adjoining figure, seg PA , seg QB, seg RC and seg SD are perpen...

    Text Solution

    |

  15. In DeltaPQR seg PM is a median. Angle bisectors of /PMQ and /PMR inter...

    Text Solution

    |

  16. In the figure bisectors of /B and /C of DeltaABC intersect each other ...

    Text Solution

    |

  17. In square ABCD, seg AD|| seg BC. Diagonal AC and digonal BD intersect ...

    Text Solution

    |

  18. In the adoining figure, XY abs() seg AC. If 2 AX = 3 BX and XY = 9, fi...

    Text Solution

    |

  19. In the adjoining figure, the vertices of square DEFG are on the sides ...

    Text Solution

    |