Home
Class 9
MATHS
Show that in a right angled triangle, th...

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

Promotional Banner

Topper's Solved these Questions

  • Surface Areas and Volumes

    MBD|Exercise Exercise|226 Videos

Similar Questions

Explore conceptually related problems

In a right-triangle, the hypotenuse is the .......... side.

In a right angled triangle .......... is the longest side.

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.

Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long

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

find the volume of the greatest right circular cone that can be described by the revolution about a side of a right angled triangle of hypotenuse 1 ft.

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.

The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (- 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

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

MBD-Triangles-Exercise
  1. P is a point equidistant from two lines l and m intersecting at point ...

    Text Solution

    |

  2. The image of an object placed at a point before a plane mirror LM is s...

    Text Solution

    |

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

    Text Solution

    |

  4. In Fig. , sides AB and AC of DeltaABC are extended to points P and Q ...

    Text Solution

    |

  5. In Fig. , angleB < angleA and angleC < angleD. Show that AD < BC.

    Text Solution

    |

  6. In DeltaABC, BC = 3.6 cm, CA = 2.8 cm. AB = 3.4 cm, arrange the angles...

    Text Solution

    |

  7. In DeltaABC if angleA = 48^@, angleB = 51^@, find the third angle and ...

    Text Solution

    |

  8. In DeltaABC if angleA = angleB=62frac(1^@) 2, find the third angle and...

    Text Solution

    |

  9. In the Fig. If AB = AD. Prove that AB > CD.

    Text Solution

    |

  10. ABC is an equilateral triangle. X is point on AC, Prove that BX > XC a...

    Text Solution

    |

  11. In given Fig. , ABC is a triangle with base BC. If the base angles of...

    Text Solution

    |

  12. In DeltaABC, AC > AB and AD is a median. Prove that angleBAD < angleCA...

    Text Solution

    |

  13. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

    Text Solution

    |

  14. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

    Text Solution

    |

  15. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

    Text Solution

    |

  16. Of all the line segments drawn from a point P to a line l not containi...

    Text Solution

    |

  17. In DeltaABC, AC > AB. The bisector of angleA meets BC at D. Prove that...

    Text Solution

    |

  18. O is any point in the exterior of a DeltaABC. Prove that 2(OA + OB + O...

    Text Solution

    |

  19. Prove that the difference of any two sides of a triangle is less than ...

    Text Solution

    |

  20. In Fig. , PQR is a triangle, S is any point in its interior, show tha...

    Text Solution

    |