Home
Class 10
MATHS
BL and CM are medians of a triangle ABC...

BL and CM are medians of a triangle ABC right angled at A. Prove that `4(B L^2+C M^2)=5B C^2`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|10 Videos
  • TRIANGLES

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-I) TYPE QUESTIONS|30 Videos
  • SURFACE AREAS AND VOLUMES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

BL and CM are medians of a triangle ABC right angled at A.Prove that 4(BL^(2)+CM^(2))=5BC^(2)

BL and CM are medians of DeltaABC , right - angled a A. Prove that 4("BL"^(2)+"CM"^(2))=5" BC"^(2)

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

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

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

seg AN and seg CM are the medians of /_ABC in which /_B=90^(@) Prove that 4(AN^(2)+CM^(2))=5AC^(2)

The points A(2,9),B(a,5),C(5,5) are the vertices of a triangle ABC right angled at B Find the value of a and hence the area of ABC.

In figure ABC and AMP are two right triangles, right angles at B and M respectively. Prove that(i) DeltaA B C~ DeltaA M P (ii) (C A)/(P A)=(B C)/(M P)

EDUCART PUBLICATION-TRIANGLES-SHORT ANSWER (SA-II) TYPE QUESTIONS
  1. Three 30^(@) - 60^(@) - 90^(@) set squares are set together as shown i...

    Text Solution

    |

  2. Three30^(@) - 60^(@) - 90^(@) set squares are set together as shown in...

    Text Solution

    |

  3. In the figure, angle D = angle E " and " (AD)/(DB) = (AE)/(EC), prove ...

    Text Solution

    |

  4. In a triangle ABC, B=90^@ and D is the mid-point of BC then prove that...

    Text Solution

    |

  5. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  6. In figure , if ABabs()DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  7. BL and CM are medians of a triangle ABC right angled at A. Prove that...

    Text Solution

    |

  8. In the given figure, if DE |\| BC, then find the ratio of area of (tri...

    Text Solution

    |

  9. ABCD is a trapezium in which ABabs()DC and P,Q are points on AD and BC...

    Text Solution

    |

  10. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  11. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  12. In given figure, if angleACB=angleCDA,AC=8cm and AD=3 cm, then find BD...

    Text Solution

    |

  13. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

    Text Solution

    |

  14. P and Q are points on the sides C A and C B respectively of A B...

    Text Solution

    |

  15. If the areas of two similar triangles are equal, prove that they ar...

    Text Solution

    |

  16. Find the length of PQ and PR,

    Text Solution

    |

  17. If six trees are to be planted along each tangential line segments at ...

    Text Solution

    |

  18. In Delta ABC, D, E, F are respectively the mid points of the sides AB...

    Text Solution

    |

  19. Prove that the area of an equilateral triangle described on one sid...

    Text Solution

    |

  20. A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of ...

    Text Solution

    |