Home
Class 9
MATHS
Show that the sum of the three altitu...

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle.

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

The sum of three altitudes of a triangle is

The sum of the three angles of a triangle is 180^(@)

Prove that the sum of the three angles of a triangle is 180^(@).

Sum of any two sides of a triangle is not less than the third side

Can the sum of the two angles of a triangle be less than the third angles?

If the altitudes of a triangle are in A.P,then the sides of the triangle are in

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. Show that in a right angled triangle, the hypotenuse is the longest...

    Text Solution

    |

  2. In Figure, A C > A B and A D is the bisector of L A . Show that A D C ...

    Text Solution

    |

  3. Show that the sum of the three altitudes of a triangle is less than...

    Text Solution

    |

  4. Prove that any two sides of a triangle are together greater than twi...

    Text Solution

    |

  5. Prove that the perimeter of a triangle is greater than the sum of it...

    Text Solution

    |

  6. Show that the difference of any two sides of a triangle is less than...

    Text Solution

    |

  7. In Figure, P Q R is a triangle and S is any point in its interior, s...

    Text Solution

    |

  8. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >...

    Text Solution

    |

  9. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q Given: A P...

    Text Solution

    |

  10. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

    Text Solution

    |

  11. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

    Text Solution

    |

  12. Of all the lines segments drawn from a point P to a line m not conta...

    Text Solution

    |

  13. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

    Text Solution

    |

  14. In Figure, T is a point on side Q R of P Q R and S is a point such th...

    Text Solution

    |

  15. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

    Text Solution

    |

  16. In Figure, A B\ a n d\ C D are respectively the smallest and longest...

    Text Solution

    |

  17. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and sh...

    Text Solution

    |

  18. In a A B C , if /B=/C=45^0, which is the longest side?

    Text Solution

    |

  19. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

    Text Solution

    |

  20. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m\...

    Text Solution

    |