Home
Class 11
MATHS
In a DeltaABC, the median to the side BC...

In a `DeltaABC`, the median to the side BC is of length `1/sqrt(11-6sqrt3)` and it divides the `angleA` into angles `30^@` and `45@.` Find the length of the side BC.

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|44 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC, the median to the side BC is of length (1)/(sqrt(11-6sqrt(3))) and it divides the /_A into angles 30^(@) and 45@. Find the length of the side BC.

In a DeltaABC if the length of the sides are sqrt(2), sqrt(6) and sqrt(8) , then the measures of the angles are

In triangle ABC, AB=6,AC=3sqrt6,angleB=60^@" and " angle C=45^(@) . Find length of side BC.

In a !ABC the length of the median AD to the side BC is 4 units. If angleA=60^(@) and the area of the triangle is 2sqrt3 sq. units. The length of side BC, is

In Delta ABC , angle A is 120^(@), BC + CA = 20, and AB + BC = 21 Find the length of the side BC

In a DeltaABC , Median AD perpendicular to side BC . Find the value of tanA/tanB

Two sides of a triangle are of lengths sqrt(6) and 4 and the angle opposite to smaller side is 30. How many such triangles are possible? Find the length of their third side and area.

Two sides of a triangle are of lengths sqrt(6) and 4 and the angle opposite to smaller side is 30. How many such triangles are possible? Find the length of their third side and area.

the length of side AB and side BC a scalene triangle ABC are 12cm and 8cm respectively the value of angle C is 59 .find the length of side AC

If the lengths of the sides BC, CA and AB of Delta ABC are a,b, and c repspectively and AD is the bisector of angleA then find the length of BD and DC.

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. Prove that r1+r2+r3-r=4R

    Text Solution

    |

  2. In a Delta ABC, GA,GB,GC makes angles alpha, beta, gamma with each oth...

    Text Solution

    |

  3. In a DeltaABC, the median to the side BC is of length 1/sqrt(11-6sqrt...

    Text Solution

    |

  4. Prove that : (r1)/(b c)+(r2)/(c a)+(r3)/(a b)=1/r-1/(2R)

    Text Solution

    |

  5. Prove that : (tanA/2)/((a-b)(a-c))+(tanB/2)/((b-a)(b-c))+(tanC/2)/((c-...

    Text Solution

    |

  6. Prove that in a triangle (b c)/(r1)+(c a)/(r2)+(a b)/(r3)=2R\ [(a/b+b...

    Text Solution

    |

  7. In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1...

    Text Solution

    |

  8. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

    Text Solution

    |

  9. Let a, b, c be the sides of a triangle & Delta its area. Prove that a^...

    Text Solution

    |

  10. If in a triangle of base 'a', the ratio of the other two sides is r ( ...

    Text Solution

    |

  11. If Delta is the area of a triangle with side lengths a, b, c, then s...

    Text Solution

    |

  12. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  13. If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(3...

    Text Solution

    |

  14. If a ,b ,c denote the lengths of the sides of a triangle opposite t...

    Text Solution

    |

  15. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  16. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  17. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  18. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  19. Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ea...

    Text Solution

    |

  20. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

    Text Solution

    |