Home
Class 10
MATHS
The hypotenuse of a right angled triangl...

The hypotenuse of a right angled triangle is 6 cm more than twice the shortest side. If the third side is 2 cm less than the hypotenuse. Find the sides of the triangle___

A

10, 24, 26

B

4, 6, 8

C

3, 4, 5

D

5, 12, 13

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Pythagoras Theorem

    UNITED BOOK HOUSE|Exercise Exercise |28 Videos

  • Quadratic Surds

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

Somen has drawn a right-angled triangle, the hypotenuse of which is 3 cm more the twice of its smallest side. If the length of its third side be 1 cm less than the hypotenuse, then find the lengths of the sides of the right-angled triangle.

Adhir has drawn a right-angled triangle whose length of hypotenuse is 6 cm more than the twice of the shortest side. If the length of the third side is 2 cm less than the length of the hypotenuse, then calculate the lengths of the three sides of the right-angled triangle drawn by Adhir.

The longest side of a triangle is three 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.

One of the sides of a right- angled triangle is 36 cm and the sum of the hypotenuse and another side is 54 cm. Find the length of the hypotenuse and another side.

The hypotenuse of a right-angled triangle is 26 cm and the difference between the other two sides is 14 cm. Find the length of the two sides.

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 perpendicular of a right angled triangle is 9 cm and the three sides are in A.P. Find the integral value of the length of the hypotenuse.

UNITED BOOK HOUSE-Quadratic equation in one variable -Exercise
  1. If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + + c = 0 have common ...

    Text Solution

    |

  2. Let a(b - c)x^2 + b(c - a)x + c(a -b) = 0 has two equal roots. The tru...

    Text Solution

    |

  3. The roots of the equation ax^2 - bx + c = 0 are

    Text Solution

    |

  4. Sum of two roots of 2x^2 + ax + 6 = 0 is 5. Then the value of a is

    Text Solution

    |

  5. Two roots of 4x^2 - px + 9 = 0 are equal. Then P equals

    Text Solution

    |

  6. Two roots of 5x^2 + 7x + 3 = 0 are alpha and beta. The value of (alpha...

    Text Solution

    |

  7. Which among the following is a quadratic equation?

    Text Solution

    |

  8. The sum of two roots of x^2 - px + q = 0 is thrice of their difference...

    Text Solution

    |

  9. alpha,beta be the roots of x(x -3) =4. Then (alpha^2 + beta^2) equals

    Text Solution

    |

  10. Two roots of x^2 - (a + b)x + ab = 0 (a, b are rational) are

    Text Solution

    |

  11. If p and q are the two roots of the equation x^2 + px + q = 0, then fi...

    Text Solution

    |

  12. Solve for x : x/x+1 + x+1/x = 34/15

    Text Solution

    |

  13. The hypotenuse of a right angled triangle is 6 cm more than twice the ...

    Text Solution

    |

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

    Text Solution

    |

  15. Find two consecutive numbers whose squares have the sum 85

    Text Solution

    |

  16. Solve for x : sqrt3x^2 - 2sqrt2x - 2sqrt3 = 0

    Text Solution

    |

  17. Solve for x : x^2 + x/2 - 1 = 0

    Text Solution

    |

  18. Solve for Z : 36z^2 - 12cz + (c^2 - d^2) = 0

    Text Solution

    |

  19. If x = sqrt(1 + sqrt(1 + sqrt(1 + ........prop))). Then x is equal to

    Text Solution

    |

  20. 300 marbels are distributed equally among a certain number of students...

    Text Solution

    |