Home
Class 10
MATHS
Let ABC be an equilateral triangel. Let ...

Let ABC be an equilateral triangel. Let `BE_|_CA` meeting CA at E, then `(AB^(2)+BC^(2)+CA^(2))` is equal to :

A

`3 BE^(2)`

B

`BE^(2)`

C

`BE^(2)`

D

`6BE^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Multiple Choice Questions) (LEVEL -2) |15 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Match the following )|3 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6 .6|12 Videos

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

If E is a point on side r:A of an equilateral triangle ABC such that BE bot CA , then prove that AB^(2) +BC^(2) +CA^(2) = 4BE^(2) .

In a triangle ABC, /_BCA = 60° and AB^(2) = BC^(2) + CA^(2) + X. What is X equal to ?

If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2)):(BC^(2)+CA^(2)+AB^(2)) is equal to

ABC is an equilateral triangle of side ‘a'. Then bar(AB).bar(BC) +bar(BC).bar(CA)+ bar(CA).bar(AB) =

In a triangle ABC if angle ABC=60^(@) , then ((AB-BC+CA)/(r ))^(2)=

In a Delta ABC, angle BCA = 60^@ and AB^2 = BC^2 + CA^2+ X . What is the value of X?

MTG IIT JEE FOUNDATION-TRIANGLES - Exercise (Multiple Choice Questions) (LEVEL -1 )
  1. If A B C and D E F are similar such that 2\ A B=D E and B C=8c m ...

    Text Solution

    |

  2. In A B C , a line X Y parallel to B C cuts A B at X and A C at Y ....

    Text Solution

    |

  3. Let ABC be an equilateral triangel. Let BE|CA meeting CA at E, then (A...

    Text Solution

    |

  4. A right triangle has hypotenuse of length p\ c m and one side of...

    Text Solution

    |

  5. ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2, prove tha...

    Text Solution

    |

  6. DeltaABC is a right triangle , right angled at A and ADbotBC . If AB...

    Text Solution

    |

  7. Delta ABC is right-angled at A and AD bot BC. If BC=13 cm and AC=5 cm,...

    Text Solution

    |

  8. L and M are the mid points of AB and BC respectively of DeltaABC , r...

    Text Solution

    |

  9. In the given figure , x in terms of a , b and c is

    Text Solution

    |

  10. In figure, two line segments AC and BD intersects each other at the po...

    Text Solution

    |

  11. In the given figure , value of x is

    Text Solution

    |

  12. In the given figure , if (AB)/(AC)=(BD)/(CD) , then angleABD=

    Text Solution

    |

  13. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  14. PSR is a triangle right angled at s . D is the mid -point of SR .If t...

    Text Solution

    |

  15. An isosceles triangle has a 10 inches base and two 13 inches sides .W...

    Text Solution

    |

  16. If the ratio of the perimeter of two similar triangles is 4:25, then f...

    Text Solution

    |

  17. In DeltaABC,angleB=90^(@)andBDbotAC. If DC=7 cm and AD = 3 cm , then t...

    Text Solution

    |

  18. In which of the following options ,DE ||AB where D and E lie on the si...

    Text Solution

    |

  19. In the given figure , DeltaABC~DeltaPQR ,PM is median of DeltaPQR . I...

    Text Solution

    |

  20. In a rectangle ABCD , E is the mid -point of AB . If AB= 16 m and AD =...

    Text Solution

    |