Home
Class 12
MATHS
A triangle with perimeter 7 has integer ...

A triangle with perimeter 7 has integer side lengths. What is the maximum possible area of such a triangle?

Text Solution

Verified by Experts

The correct Answer is:
`(3 sqrt7)/(4)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE|Exercise Exercise|138 Videos

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

If an isosceles triangle has two sides of length 2,then the maximum possible area of the triangle,is

If an isosceles triangle has two sides of length 2,then the maximum possible area of the triangle,is

If an isosceles triangle has 2 sides of length 2, then the maximum possible area of the triangle,is

If one side of a right-angled triangle (with all sides intégers) is 15 cm, then what is the maximum perimeter of the triangle ?

Two sides of a triangle are in the ratio 3:5 and third side is 16 .If Delta is the largest possible area of the triangle,then Delta=

The length and width of a rectangle with integral sides and perimeter as 18 units, such that it has the maximum possible area, are respectively

An isosceles triangle has perimeter 30cm and each of the equal sides os 12cm. Find the area of the triangle.

If the perimeter of a triangle is 6, then its maximum area is

An isosceles triangle is drawn outside on one of the sides of a square as base in such a way that the perimeter of the complete figure is (7)/(6) times the perimeter of the original square. What is the ratio of area of the triangle to the area of the original square ?

RESONANCE-GEOMETRY-Exercise-1 (Part-I: Previous Asked Question For Pre RMO)
  1. A triangle with perimeter 7 has integer side lengths. What is the maxi...

    Text Solution

    |

  2. In DeltaABC, we have AC= BC = 7 and AB=2. Suppose that D is a point on...

    Text Solution

    |

  3. In rectangle ABCD, AB = 5 cm and BC = 3 cm. Point F and G are on the l...

    Text Solution

    |

  4. ABCD is a square and AB=1. Equilateral triangle AYB and CXD are drawn ...

    Text Solution

    |

  5. O and I are the circumcentre and incentre of DeltaABC respectively. Su...

    Text Solution

    |

  6. PS is a line segment of length 4 and O is the midpoint of PS. A semici...

    Text Solution

    |

  7. Let AD and BC be the parallel sides of a trapezium ABCD. Let P and Q b...

    Text Solution

    |

  8. In a triangle ABC, let H, l and O b the orthocenter, incentre and cir...

    Text Solution

    |

  9. Three points X,Y, Z are on a straight line such that XY=10 and XZ=3. W...

    Text Solution

    |

  10. Let ABC be an equilateral triangle. Let P and S be point on AB and AC ...

    Text Solution

    |

  11. Let A(1), B(1), C(1), D(1) be the midpoints of the sides of a convex q...

    Text Solution

    |

  12. Let S be a circular with centre O. A chord AB, not a diameter, divides...

    Text Solution

    |

  13. In a triangle ABC with angleBCA= 90^(@), the perpendicular bisector of...

    Text Solution

    |

  14. Let ABCD be a convex quadrilateral with perpendicular diagonals. If AB...

    Text Solution

    |

  15. In a triangle ABC, X and Y are points on the segments AB and AC, respe...

    Text Solution

    |

  16. Let ABCD be a convex quadrillateral with angleDAB=angleBDC=90^(@), Let...

    Text Solution

    |

  17. Let XOY be a triangle with angleXOY= 90^(@). Let M and N be the midpoi...

    Text Solution

    |

  18. In a triangle ABC, let I denote the incentre. Let the lines Al, Bl and...

    Text Solution

    |

  19. The figure below shows a broken piece of a circular plate made of gass...

    Text Solution

    |

  20. A 2 xx3 rectangle and a 3 xx 4 rectangle are contained within a square...

    Text Solution

    |