Home
Class 11
MATHS
Prove that in a right angled triangle th...

Prove that in a right angled triangle the mid-point of the hypotenuse is equidistant from its vertices.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos
  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

Similar Questions

Explore conceptually related problems

Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

Prove that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Show that in a right angled triangle, the hypotenuse is the longest side.

Show that in a right angled triangle, the hypotenuse is the longest side.

Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5,-4) . Then the coordinates of the circumcenter are (1,2) Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

In a right angles triangle, prove that r+2R=s.

Prove that the perimeter of a right-angled triangle of given hypotenuse equal to 5 cm is maximum when the triangle is isosceles.

Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.

In right triangle ABC, right angled at C, M is the mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM=CM. point D is joined to point B. show that triangleDBCequivtriangleACB

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that MD _|_ AC .

MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Prove that in a right angled triangle the mid-point of the hypotenuse ...

    Text Solution

    |

  2. What is the slope of the line whose inclination is : 0^@ ?

    Text Solution

    |

  3. What is the slope of the line whose inclination is : 60^@ ?

    Text Solution

    |

  4. What is the slope of the line whose inclination is : 45^@ ?

    Text Solution

    |

  5. What is the slope of the line whose inclination is : 90^@ ?

    Text Solution

    |

  6. What is the slope of the line whose inclination is : 120^@ ?

    Text Solution

    |

  7. What is the slope of the line whose inclination is : 150^@ ?

    Text Solution

    |

  8. Find the slope of the line, which makes an angle of 30^@ with the posi...

    Text Solution

    |

  9. Find the inclination of the line whose slope is : 1.

    Text Solution

    |

  10. Find the inclination of the line whose slope is : 1/4 .

    Text Solution

    |

  11. Find the inclination of the line whose slope is : 3.

    Text Solution

    |

  12. Find the inclination of the line whose slope is : 0.

    Text Solution

    |

  13. Find the angle between x-axis and the line joining the points (3,-1) a...

    Text Solution

    |

  14. Find the slope of the line through the points : (1, 2), (4, 2).

    Text Solution

    |

  15. Find the slope of the line through the points : (0, - 4), (- 6, 2).

    Text Solution

    |

  16. Find the slope of the line through the points (4,-6)(-2,-5)

    Text Solution

    |

  17. Find the slope of the line through the points : (4, 6), (2,12)

    Text Solution

    |

  18. Find the slope of the line through the points : (3, -2), (3, 4).

    Text Solution

    |

  19. Find the slope of a line, whch passes through the origin and the mid-p...

    Text Solution

    |

  20. What acute angle does a line of slope (-2)/3 make with a vertical line...

    Text Solution

    |

  21. Show that the line joining the points (2,-3)and (-5,1) is parallel to ...

    Text Solution

    |