Home
Class 10
MATHS
D and E are points on the sides CA and C...

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C.Prove that,`AE^2+BD^2=AB^2+DE^2`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos

  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

If x and y are the mid-points of the sides CA and CB respectively of a ∆ABC right angled at C. prove that 4Ay^2=4AC^2 +BC^2

P and Q are points on the sides CA and CB of a ∆ABC , right angled at C. Prove that AQ^2 + BP^2 = AB^2 + PQ^2 .

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

D and E are two points on the sides AC and AB respectively of triangleABC such that triangle ADE~triangleABC .If AD=1.9cm,AE=3.6cm.BE=2.1cm.and BC=8.4 cm.find DE.

If PB and AQ are the medians of a ∆ABC right angled at C. Prove that 4 (AQ^2 + BP^2) = 5 AB^2

If PB and AQ are the medians of a ∆ABC right angled at C. Prove that 4BP^2 = 4 BC^2 + AC^2

If PB and AQ are the medians of a ∆ABC right angled at C. Prove that 4AQ^2 = 4 AC^2 + BC^2

D is a point on the side BC of a triangle ABC such that angleADC=angleBAC .Show that CA^2=CB.CD .

O is a point in the interior of ∆ABC . OD,OE and OF are the perpendicular drawn to the sides BC, CA and AB respectively. Prove that AF^2+BD^2+CE^2=AE^2+BF^2+CD^2 .

In triangle ABC,D and E are points on the sides AB and AC such that angleAED=angleC . Prove that triangleADE~triangleABC

R G PUBLICATION-TRIANGLES-EXERCISE
  1. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The perpendicular from A on side BC of atriangleABC intersects BC at ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Tick the correct answer and a justify :In triangleABC,AB=6sqrt3,AC=12c...

    Text Solution

    |

  8. In Fig.6.56,PS is the bisector of angleQPR of trianglePQR.Prove that (...

    Text Solution

    |

  9. In Fig.6.57, D is point on hypothenuse AC of triangleABC,such thatBD|A...

    Text Solution

    |

  10. In Fig.6.58, ABC is a triangle in which angleABC>90^@ and AD|CBproduce...

    Text Solution

    |

  11. In Fig.6.59, ABC is a triangle in which angleABC<90^@ and AD|BC.Prove ...

    Text Solution

    |

  12. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that :(i...

    Text Solution

    |

  13. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that :(i...

    Text Solution

    |

  14. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that ...

    Text Solution

    |

  15. In Fig.6.61, two chords AB and CD intersect each other at the point P....

    Text Solution

    |

  16. In Fig.6.61, two chords AB and CD intersect each other at the point P....

    Text Solution

    |

  17. In Fig.6.62, two chords AB and CD of a circle intersect each other at ...

    Text Solution

    |

  18. In Fig.6.62, two chords AB and CD of a circle intersect each other at ...

    Text Solution

    |

  19. State basic proportionality theorem.

    Text Solution

    |

  20. In the adjoining figure, DE||BC and AD=1 cm,BD=2 cm.What is the ratio...

    Text Solution

    |