Home
Class 12
MATHS
If A is the area and 2s is the sum of th...

If `A` is the area and `2s` is the sum of the sides of a triangle, then `Alt=(s^2)/4` (b) `Alt=(s^2)/(3sqrt(3))` `2RsinAsinBsinC` (d) `non eoft h e s e`

Text Solution

Verified by Experts

The correct Answer is:
`A le (s ^(2))/(3sqrt3)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|1 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 1|20 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If triangle is the area and 2s is the perimeter of triangleABC , then prove that triangle le s^(2)/(3sqrt(3))

Given b=2,c=sqrt(3),/_A=30^0 , then inradius of A B C is (sqrt(3)-1)/2 (b) (sqrt(3)+1)/2 (c) (sqrt(3)-1)/4 (d) non eoft h e s e

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)<=a<= sqrt(3) (d) non eoft h e s e

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)< a< sqrt(3) (d) non eoft h e s e

The maximum area of the rectangle whose sides pass through the vertices of a given rectangle of sides aa n db is (a) 2(a b) (b) 1/2(a+b)^2 (c) 1/2(a^2+b^2) (d) non eoft h e s e

In A B C , the median A D divides /_B A C such that /_B A D :/_C A D=2:1 . Then cos(A/3) is equal to (sinB)/(2sinC) (b) (sinC)/(2sinB) (2sinB)/(sinC) (d) non eoft h e s e

Using vectors: Prove that if a,b,care the lengths of three sides of a triangle then its area Delta is given by Delta= sqrt(s(s-a)(s-b)(s-c)) where 2s=a+b+c

Let alt=blt=c be the lengths of the sides of a triangle. If a^2+b^2< c^2, then prove that angle C is obtuse .

If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , then lambda lies in the interval (4,oo) (b) (-oo,4) (c) (0,4) (d) Non eoft h e s e

x gt0 , then the sum of the series e^(-x)-e^(-2x)+e^(-3x)-... i s

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If A is the area and 2s is the sum of the sides of a triangle, then Al...

    Text Solution

    |

  2. In a triangle XYZ, let x, y, z be the lengths of sides opposite to the...

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

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

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

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

    Text Solution

    |

  11. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |