Home
Class 14
MATHS
Let ABC be an equilateral triangle. Let ...

Let ABC be an equilateral triangle. Let `BE bot CA` meeting CA at E, then `(AB^2+BC^2+CA^2)` is equal to :

A

`2AD^2`

B

`3AD^2`

C

`4AD^2`

D

`5AD^2 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE-II)|25 Videos

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE-III)|109 Videos

  • DISCOUNT

    KIRAN PUBLICATION|Exercise Test Yourself |10 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

Similar Questions

Explore conceptually related problems

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

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 ?

Let ABC be an equilateral triangle. If the side BC is produced to the point D so that BC = 2CD, then AD^(2) is equal to

Let ABC be an equilateral triangle and P be a point within the triangle.Perpendicular PD,PE and PF are drawn to three sides of the triangle,then the value of (AB+BC+CA)/(PD+PE+PF) is

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?

KIRAN PUBLICATION-GEOMETRY-TRY YOURSELF
  1. Let ABC be an equilateral triangle. Let BE bot CA meeting CA at E, the...

    Text Solution

    |

  2. The angles of a triangle are in the ratio of 1:2:3. What will be the r...

    Text Solution

    |

  3. In Delta ABC, AB = 6 cms, BC = 10 cms, AC = 8cm and ADIBC. Find the va...

    Text Solution

    |

  4. ABC is a right angled triangle in which /C = 90^@. If BC = a, AB = c ,...

    Text Solution

    |

  5. Two chords AB and CD of a circle with centre O intersect at point P wi...

    Text Solution

    |

  6. Two circles whose radii are 10 cm and 8 cm,intersect each other and th...

    Text Solution

    |

  7. A triangle ABC is inscribed in a circle and the bisectors of the angle...

    Text Solution

    |

  8. PQRS is a rhombus in which /SPQ = 64^@. Equilateral triangles PXQ and ...

    Text Solution

    |

  9. Tangents PT and QT are drawn on a circle of radius 5 cm from point T w...

    Text Solution

    |

  10. PQ is a chord of length 8 cm, of a circle with centre O and of radius ...

    Text Solution

    |

  11. AB = 2r is the diameter of a circle. If a chord CD Interests AB at rig...

    Text Solution

    |

  12. ABCD is a trapezium in which AB is parallel to DC, AD = BC, AB = 6 cm,...

    Text Solution

    |

  13. The diagram below represents three circular garbage cans, each of diam...

    Text Solution

    |

  14. In the given figure, AB||CD, then the value of x will be

    Text Solution

    |

  15. The parallel sides AB and CD of a trapezium ABCD are 9 cm and 3 cm res...

    Text Solution

    |

  16. If D, E and Fare the mid points of BC, CA and AB respectively of the A...

    Text Solution

    |

  17. A chord AB of length 16 cm is drawn in a circle of diameter 20 cm. If ...

    Text Solution

    |

  18. In DeltaPQR ,right-angled at Q,X,Y and Z are points on sides PR, RQ an...

    Text Solution

    |

  19. In the given figure, the tangent at C meets the diameter AB produced a...

    Text Solution

    |

  20. Three circles of diameter 24 cm each touch each other externally. Find...

    Text Solution

    |

  21. In right-angled DeltaABC, D and E trisect BC. Find the value of 8 ((A...

    Text Solution

    |