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

The hypotenuse of a right triangle is `3sqrt(10)c m` . If the smaller leg is tripled and the longer leg doubled, new hypotenuse will be `9sqrt(5)c m` . How long are the legs of the triangle?

Text Solution

Verified by Experts

The correct Answer is:
3cm and 9cm
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|15 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Short Answer Questions|10 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN|Exercise Exercise 4c|12 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer/short Answer Questions|16 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

The hypotenuse of a right triangle is 3sqrt(10)cm If the smaller leg is tripled and the longer leg doubled,new hypotenuse will be 9sqrt(5)cm. How long are the legs of the triangle?

The hypotenuse of a right triangle is 3sqrt(5)cm. If the smaller side is tripled and the larger side is doubled,the new hypotenuse will be 15cm. Find the length of each side.

The hypotenuse of a right-angled triangle is 10 cm and its area is 24 cm^2 . If the shorter side is halved and the longer side is doubled, the new hypotenuse becomes

The hypotenuse of a right triangle with its legs of lengths 3x xx 4x is

The hypotenuse of an isosceles right triangle is sqrt(242)cm. Find the length of each equal side.

The length of hypotenuse of a right angled triangle is 3sqrt(10) . If among two perpendicular lines, smallest one is tripled and bigger one is double bled, the hypotenuse of new right angled triangle thus formed is 9sqrt(5) unit. The length of smallest and the bigger sides are respectively.

The area of a right triangle is 50m^(2). If one of the legs is 20m, find the length of the other leg.

One of the legs of a right triangle is 9cm. If the area of the triangle is 225cm, then the length of the other leg is

Area of a right triangle is 54 cm^2 . If one of its legs is 12 cm long, its perimeter is

NAGEEN PRAKASHAN-QUADRATIC EQUATIONS-Exercise 4d
  1. The longest side of a right angled triangle is 4cm longer than one sid...

    Text Solution

    |

  2. In a tringle the measure of the greatest angle is square of measure ...

    Text Solution

    |

  3. The hypotenuse of a right triangle is 3sqrt(10)c m . If the smaller...

    Text Solution

    |

  4. A square lawn has a path 2m wide around it. The area of the path is 19...

    Text Solution

    |

  5. The number of seats in a row is equal to the total number of rows in a...

    Text Solution

    |

  6. The area of a recangular field is 260m^(2) . Had its length been 5 m l...

    Text Solution

    |

  7. A chess board contains 64 equal squares and the area of each square...

    Text Solution

    |

  8. A girl is twice as old as her sister. Four years hence, the product of...

    Text Solution

    |

  9. The product of Ramus age (in years) five years ago with his age (in ...

    Text Solution

    |

  10. Mrs. Mehra has two sons, one being exactly one year older than the oth...

    Text Solution

    |

  11. The sum of ages of a boy and his brother is 25 years, and the product ...

    Text Solution

    |

  12. A takes 6 days less than the time taken by B to finish a piece of work...

    Text Solution

    |

  13. One pipe can fill a cistren in 3 hours less than the other. The two pi...

    Text Solution

    |

  14. A train travels a distance of 300km at constant speed. If the speed of...

    Text Solution

    |

  15. A plane left 30 minutes late than its scheduled time and in order to r...

    Text Solution

    |

  16. Two trains leave a railway station at the same time. The first train t...

    Text Solution

    |

  17. Car A travels x km for every litre of petrol, while car B travels (x+5...

    Text Solution

    |

  18. The distance by road between two towns A and B, is 216km , by rail it ...

    Text Solution

    |

  19. The speed of a boat in still water is 15 km/hr. It can go 30 km ups...

    Text Solution

    |

  20. The speed of a boat in still water is 9 km/hr. It can go 12 km upstrea...

    Text Solution

    |