Home
Class 9
MATHS
Prove that in any triangle, the semi per...

Prove that in any triangle, the semi perimeter is greater than each of its sides.

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES AND INEQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|126 Videos

  • HARDER PRODUCT AND FACTORISATION

    KALYANI PUBLICATION|Exercise EXERCISE|148 Videos

  • LOGARITHMS

    KALYANI PUBLICATION|Exercise EXERCISE|122 Videos

Similar Questions

Explore conceptually related problems

Prove that in any quadrilateral the sum of the diagonals is greater than its semi—perimeter.

Prove that the perimeter of any quadrilateral is greater than the sum of the diagonals.

Prove that in two equiangular triangles the ratio of the corresponding sides and the ratio of the bisectors of the corresponding angles are equal. [The end-points of the bisectors are on the opposite sides of the angles.]

ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

If the perpendicular distance from the centroid of an equilateral triangle to one of its sides is 'a' find the length of its side

The longest side a triangle is three times the shortest side and third side is 2 cm shorter than the logest side.If the perimeter of triangle is atleast 61 cm.Find the minimum length of the shortest side.

Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

In /_\ABC , AB=4cm , BC=6cm and AC=6cm . Construct a triangle similar to /_\ABC such that each of its sides is 4/5 of the corresponding sides of /_\ABC .

in ABC, AB=4cm , BC=5cm and AC=6cm . construct a triangle similar to ABC such that each of its sides is 2/3 rd of the corresponding sides of ABC.

In ABC, AB=3cm BC=4cm and CA=5cm , construct a triangle similar to ABC such that each of its sides is 3/4 of the corresponding sides of ABC.

KALYANI PUBLICATION-INEQUALITIES AND INEQUATIONS-EXERCISE
  1. prove that sqrt7+sqrt12gtsqrt6+sqrt13.

    Text Solution

    |

  2. If a,b,c are positive unequal real numbers then prove that sqrt14+sq...

    Text Solution

    |

  3. Prove that in any triangle, the semi perimeter is greater than each of...

    Text Solution

    |

  4. Prove that in any quadrilateral the sum of the diagonals is greater th...

    Text Solution

    |

  5. If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then prove that x/a=y/b.

    Text Solution

    |

  6. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

    Text Solution

    |

  7. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  8. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  9. If x, y, z are all positive real numbers, then prove that, If x+y+z...

    Text Solution

    |

  10. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  11. If x + y=5, then find the greatest value of 10xy.

    Text Solution

    |

  12. If 2x+ 3y = 5, then find the greatest value of 8xy.

    Text Solution

    |

  13. If 7/12xy=21, then find the minimum value of 5(x+y).

    Text Solution

    |

  14. Find the solution sets of the following inequations. 7(3-2x)+5(x-1)l...

    Text Solution

    |

  15. Find the solution sets of the following inequations. 5(x-11)+4gt2(x-...

    Text Solution

    |

  16. Find the solution sets of the following inequations. 8(2x-7)-9(3x-14...

    Text Solution

    |

  17. Find the solution sets of the following inequations. 13x-4(5x-8)+17g...

    Text Solution

    |

  18. Find the solution sets of the following inequations. 14(x-4)+3(x+5)l...

    Text Solution

    |

  19. Find the solution sets of the following inequations. a^2(x-a)+b^2(x-...

    Text Solution

    |

  20. Find the solution sets of the following inequations. (x-6)/5+(x-4)/3...

    Text Solution

    |