Home
Class 11
MATHS
In a triangle , if the larger side is 7 ...

In a triangle , if the larger side is 7 and one of the angle is ` 120 ^(@) ` with the sides in A.P. then area of triangle is

A

` 3 sqrt( ( 15)/(4)) `

B

` ( 5sqrt3)/( 4) `

C

` 15//4`

D

` (3sqrt3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 1|98 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

If two sides of a triangle are 3 feet and 12 feet and included angle is 150^(@) then the area of the triangle in square feet is a

The perimeter of a triangle is 16 cm. One of the sides is of length 6 cm. iF the area of the triangle is 12 sq cm, then the triangle is

In a triangle, the lengths of thw two larger sides are 10 and 9, respectively. If the angles are in A.P., then the length of the third side can be

Converse of Pythagoras theorem: In a triangle if the square of one side is equal to the sum of squares of the other two sides, then the angle opposite to the first side is a right angle and the triangle is a right angled triangle.

Equilateral triangle are drawn on the three sides of a right angled Triangle. Show that the area of the Triangle on the hypotenuse is equal to the sum of the areas of triangle on the other two sides.

Given an isosceles triangle, whose one angle is 120^(@) and radius of its in circle = sqrt(3) . Then the area of the triangle in square units is

The base of a triangle is 80 and one of base angle is 60^(@) . If the sum of the lenghts of he other two sides is 90. then the shortest side is

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. Area of triangle ABC is a^(2) - (b-c)^(2) then tan A =

    Text Solution

    |

  2. a^(2) cot A+ b^(2) cot B+ c ^(2) cot C =

    Text Solution

    |

  3. In a triangle , if the larger side is 7 and one of the angle is 120 ^...

    Text Solution

    |

  4. In Delta ABC, (cos A)/(c sin B)+(cos B)/( a sin C)+(cos C)/( b sin A)=

    Text Solution

    |

  5. If alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  6. IF alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  7. If alpha,beta,gamma, are lengths of the altitudes of a triangle ABC wi...

    Text Solution

    |

  8. In Delta ABC, B = 45 ^(@) , C = 120 ^(@) , a= 40 cm, the length of ...

    Text Solution

    |

  9. If the base angles of a triangle are 22 (1^(0) )/(2) , 112 (1^(0))/(2...

    Text Solution

    |

  10. In Delta ABC, if 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle is ...

    Text Solution

    |

  11. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

    Text Solution

    |

  12. In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 th...

    Text Solution

    |

  13. If sin A cos B = (1)/(4) and 3 tan A = tan B then triangle is

    Text Solution

    |

  14. If sin A , sin B are roots of c^(2) x^(2) - c ( a+b) x + ab = 0 , ...

    Text Solution

    |

  15. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

    Text Solution

    |

  16. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

    Text Solution

    |

  17. Two sides of a triangles are given by the roots of the equation x^(2)...

    Text Solution

    |

  18. In Delta ABC, if tan B tan C+tan C tan A+tan A tan B=sqrt3 tan A tan B...

    Text Solution

    |

  19. IF Delta ABC, if cot""A/2=(b+c)/a, then the triangle is

    Text Solution

    |

  20. In Delta ABC if a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

    Text Solution

    |