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 ENGLISH|Exercise All Questions|206 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 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 that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

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

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

Find a point on the base of a scalene triangle equidistant from its sides.

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.

If D is the mid-point of the hypotenuse A C of a right triangle A B C , prove that B D=1/2A C

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.

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 that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. The bisector of /B of an isosceles triangle A B C with A B=A C mee...

    Text Solution

    |

  2. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

    Text Solution

    |

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

    Text Solution

    |

  4. A B is a diameter of a circle with centre O and radius O D is perp...

    Text Solution

    |

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

    Text Solution

    |

  6. In Figure, AB is a diameter of the circle, CD is a chord equal to th...

    Text Solution

    |

  7. In Figure, O is the centre of the circle. If /A P B=50^0, find /A O B\...

    Text Solution

    |

  8. In Figure, it is given that O is the centre of the circle and /A O...

    Text Solution

    |

  9. In Figure, O is the centre of the circle. Find /B A C

    Text Solution

    |

  10. If O is the center of the circle, find the value of x in each of t...

    Text Solution

    |

  11. If O is the circumcentre of /\ A B C and O D|B C , prove that /B O D=...

    Text Solution

    |

  12. In the figure, O is the center of the circle and BO is the bisector of...

    Text Solution

    |

  13. In Figure, O is the centre of the circle, prove that /x=/y+/z

    Text Solution

    |

  14. In Figure, O\ a n d\ O ' are centres of two circles intersecting at ...

    Text Solution

    |

  15. In Figure, O is the centre of a circle and P Q is a diameter. If /R...

    Text Solution

    |

  16. In Figure, if /A C B=40^@,\ /D P B=120^@,\ find /C B D

    Text Solution

    |

  17. A chord of a circle is equal to the radius of the circle. Find the ...

    Text Solution

    |

  18. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

    Text Solution

    |

  19. In Figure, if /D B C=70^@\ a n d\ /B A C=30^@,\ find /B C D. Furthe...

    Text Solution

    |

  20. In Figure, A B C D is a cyclic quadrilateral; O is the centre of th...

    Text Solution

    |