Home
Class 9
MATHS
Prove that the mid-point of the hypotenu...

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

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

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

Prove by the vector method that the mid-point of the hyptenuse of a right angled triangleis equidistant from the vertices of the triangle.OR

In Fig.14.40, a right triangle BOA is given.C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O,A and B.( FIGURE)

What is the measure of the hypotenuse of a right triangle, when its medians, drawn from the vertices of the acute angles, are 5 cm and 2 sqrt(10) cm

What is the measure of the hypotenuse of a right triangle, when its medians, drawn from the vertices of the acute angles, are 5 cm and 2sqrt(10) cm long ?

Prove that the line segment joining the mid- point of the hypotenuse of a right triangle to its opposite vertex is half of the hypotenuse.

A point on the hypotenuse of a right triangle is at distances a and b from the sides of the triangle.Show that the minimum length of the hypotenuse is (a^((2)/(3))+b^((2)/(3)))^((3)/(2))

Prove by vector method, that in a right-angled triangle ABC, AB^(2) + AC^(2) = BC^(2) , the angle A being right angled. Also prove that mid-point of the hypotenuse is equidistant from vertex.

If D is the mid-point of the hypotenuse AC of a right triangle ABC, prove that BD=(1)/(2)AC

RD SHARMA-CIRCLE -All Questions
  1. Prove that the circle drawn with any side of a rhombus as a diameter, ...

    Text Solution

    |

  2. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

    Text Solution

    |

  3. Prove that the mid-point of the hypotenuse of a right triangle is eq...

    Text Solution

    |

  4. In Figure, P , is any point on the chord B C of a circle such that A B...

    Text Solution

    |

  5. Two chords A B and C D of a circle are parallel and a line l is the pe...

    Text Solution

    |

  6. A circular park of radius 20m is situated in a colony. Three boys Anku...

    Text Solution

    |

  7. In an equilateral triangle, prove that the centroid and the circumcent...

    Text Solution

    |

  8. In Figure, l is a line intersecting the two concentric circles, whose ...

    Text Solution

    |

  9. In the Figure, O D is perpendicular to the chord A B of a circle who...

    Text Solution

    |

  10. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm a...

    Text Solution

    |

  11. A B and C D are two parallel chords of a circle such that A B=10c m an...

    Text Solution

    |

  12. P Q and R S are two parallel chords of a circle whose centre is O and ...

    Text Solution

    |

  13. A B and C D are two parallel chords of a circle whose diameter is A C ...

    Text Solution

    |

  14. If a diameter of a circle bisects each of the two chords of a circle, ...

    Text Solution

    |

  15. Prove that the line joining the midpoints of any two sides of a triang...

    Text Solution

    |

  16. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  17. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  18. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

    Text Solution

    |

  19. If two sides of a cyclic quadrilateral are parallel, prove that the ...

    Text Solution

    |

  20. Prove that the circle drawn with any side of a rhombus as a diameter,p...

    Text Solution

    |