Home
Class 12
MATHS
If in a triangle ABC, /A = 30^@ and the ...

If in a triangle `ABC, /_A = 30^@` and the area of triangle `(sqrt3a^2)/4` , then prove that either `B=4C or C=4B`.

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC,/_A=30^(@) and the area of triangle (sqrt(3)a^(2))/(4), then prove that either B=4C or C=4B

If Delta ABC, a = 18, b = 24, c = 30 then the area of the triangle is

In a triangle ABC, if 2 /_A = 3 /_ B = 6 /_ C, then /_B = ?

In a triangle ABC, if a = 2, b = 3 and c=4 , then cos A is equal to

In a triangle ABC,if B= 30^@ " and " c = sqrt(3) b the A can be equal to

In a triangle ABC,2/_A=3/_B=6/_C. Then the smallest angle in the Delta ABC is

In a triangle ABC,/_A=60^(@) and b:c=(sqrt(3)+1):2 then (/_B-/_C) has the value equal to

If in a triangle ABC,3sin A=6sin B=2sqrt(3)sin C then the value of /_A=

In a triangle ABC, if /_A=55^(@) and /_B=15^(@), then c^(2)-a^(2) is equal to

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. Find the angle of a triangle in which the latitude and a median drawn ...

    Text Solution

    |

  2. If in a triangleABC , a = 6, b=3 and cos(A-B)=4/5 then find its area...

    Text Solution

    |

  3. If in a triangle ABC, /A = 30^@ and the area of triangle (sqrt3a^2)/4 ...

    Text Solution

    |

  4. If p1,\ p2, p3 are the altitudes of a triangle from the vertices A , B...

    Text Solution

    |

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

    Text Solution

    |

  6. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

    Text Solution

    |

  7. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  8. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  9. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  10. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  11. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  12. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  13. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |

  14. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  15. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  16. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  17. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  18. A cyclic quadrilateral A B C D of areal (3sqrt(3))/4 is inscribed in u...

    Text Solution

    |

  19. If two times the square of the diameter of the circumcircle of a trian...

    Text Solution

    |

  20. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |