Home
Class 10
MATHS
The hypotenuse of a right triangle is 1 ...

The hypotenuse of a right triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Difference of any two sides of a triangle is less than to the third side.

The hypotenuse is the……….. Side in right triangle.

Each of the two sides of an isosceles triangle is 3 cm less than twice the third side. If the perimeter of the triangle is 64 cm, find the length of each side.

The hypotenuse of a right triangle is 3sqrt5 cm. If the smaller side is tripled and the larger side is doubled, the new hypotenuse will be 15 cm. Find the length of each side.

Sum of any two sides of a triangle is greater than the third side.

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

Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.

MBD-QUADRATIC EQUATIONS-EXERCISE
  1. The side of a square exceeds the side of another square by 4 cm and su...

    Text Solution

    |

  2. A swimming pool is filled with three pipes with uniform flow. The firs...

    Text Solution

    |

  3. The hypotenuse of a right triangle is 1 m less than twice the shortest...

    Text Solution

    |

  4. The length of a rectangle is twice as long as the side of a square. Th...

    Text Solution

    |

  5. The perimeter of a rectangular field is 82 m and its area is 400 m^2. ...

    Text Solution

    |

  6. A rectangular park is to be designed whose breadth is 3 m less than it...

    Text Solution

    |

  7. A motor boat whose speed is 18 km/hr in still water takes 1 hour more ...

    Text Solution

    |

  8. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  9. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  10. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  11. Find the values of k for each of the following quadratic equations, so...

    Text Solution

    |

  12. Find the values of k for each of the following quadratic equations, so...

    Text Solution

    |

  13. Is it possible to design a rectangular mango grove whose length is twi...

    Text Solution

    |

  14. Is the following situation possible ? If so, determine their present a...

    Text Solution

    |

  15. Is it possible to design a rectangular park of perimeter 80 m and area...

    Text Solution

    |

  16. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  17. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  18. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  19. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |

  20. Find the nature of the roots of the following quadratic equations. If ...

    Text Solution

    |