Home
Class 11
MATHS
In an isosceles triangle ABC, AB=AC. If ...

In an isosceles triangle ABC, AB=AC. If vertical angle A is `20^@`, then `a^3+b^3` is equal to

A

`3a^2b`

B

`3b^2c`

C

`3c^2a`

D

abc

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

In an isosceles triangle ABC , angleA =120^@ ,a:b=

In an isosceles triangle ABC, if AB = AC = 25 cm and BC = 14 cm, then the measure of altitude from A on BC is____

triangleABC is an isosceles triangle in which angleC = 90^@ . If AC = 6 cm, then AB is equal___

In the isosceles triangle ABC, AB=AC, if a circle is drawn with the side AB as diamter then the circle intersects the side BC at the point D. When BD=4 cm , find the the length of CD.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD = AE.

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

If the radius of the circumcircle of the isosceles triangle ABC is equal to AB(=AC), then the angle A is equal to-

In the isosceles triangle ABC, AB=AC and BE is perpendicular to AC from B. Prove that BC^(2) = 2ACxxCE

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

Reme has drawn an isosceles triangle ABC whose included angle of two equal sides is angleABC=45^(@) , "the bisector of angleABC intersects the side AC at the point D. Determine the circular values of" angleABD,angleBAD,angleCBD,and angleBCD

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In DeltaABC, let A=pi/3, b=40, c=30, AD is a median, them the value of...

    Text Solution

    |

  2. In a DeltaABC, sides a,b,c are in A.P. and 2/(1!9!)+2/(3!7!)+1/(5!5!)=...

    Text Solution

    |

  3. In an isosceles triangle ABC, AB=AC. If vertical angle A is 20^@, then...

    Text Solution

    |

  4. If f,g, h are the internal bisectors of a DeltaABC, then 1/fcos(A/2)+1...

    Text Solution

    |

  5. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  6. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

    Text Solution

    |

  7. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

    Text Solution

    |

  8. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

    Text Solution

    |

  9. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

    Text Solution

    |

  10. If I is the incenter of DeltaABC, then the ratio IA:IB:IC is equal t...

    Text Solution

    |

  11. If in a DeltaABC , a^2cos^2A=b^2+c^2, then

    Text Solution

    |

  12. In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

    Text Solution

    |

  13. In any triangle ABC,sum(sin^2A+sinA+1)/sinAis always greater than

    Text Solution

    |

  14. In DeltaABC, the value of ((r1+r2)(r2+r3)(r3+r1))/(R(s)^(2) is

    Text Solution

    |

  15. If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

    Text Solution

    |

  16. If in a triangle ABC, angleB=60^@,then

    Text Solution

    |

  17. Given an isosceles triangle with equal sides of length b,base angle a...

    Text Solution

    |

  18. In DeltaABC,A=15^@,b =10sqrt2cm the value of 'a' for which these will ...

    Text Solution

    |

  19. In DeltaABC, a=5,b=4,A=(pi/2)+B, thenC

    Text Solution

    |

  20. If tanA, tanB are the roots of the quadratic abx^2-c^2x+ab=0, where a,...

    Text Solution

    |