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

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

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

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

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

Similar Questions

Explore conceptually related problems

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.

If the hypotenuse of an isosceles right triangle is 7 sqrt2 cm, find the area of the circle inscribed in it

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

The hypotenuse of a right triangle is 13cm long. If one of the remaining two sides is of length 5cm, find the length of another side.

The area of right triangle is 35 square inches. If the longer leg is 3 inches longer than the shorter leg, what is the length of the hypotenuse, in inches ?

The hypotenuse of a right angled triangle is 45 cm long. If one of the legs of this triangle is 36 cm, then find the length of other leg.

The area of a right triangle is 240 cm^(2) and one of its legs is 16 cm long . Find the length of the other leg .

The two legs of a right triangle are equal and the square of the hypotenuse is 50. Find the length of each leg.

The figure above shows a right triangle whose hypotenuse is 7 feet long. How many feet long is the longer leg of this triangle ?

The figure above shows a right triangle whose hypotenuse is 4 feet long. How many feet long is the shorter leg of this triangle ?

NAGEEN PRAKASHAN ENGLISH-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 300 km at constant speed. If the spee...

    Text Solution

    |

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

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |