Home
Class 9
MATHS
A counter example to the statement "In a...

A counter example to the statement "In any right triangle the square of the smallest side equals to sum of the other sides" is

A

(3, 4, 5)

B

(5, 12, 13)

C

(6, 8, 10)

D

(7, 24, 25)

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|76 Videos
  • QUADRILATERALS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|81 Videos

Similar Questions

Explore conceptually related problems

Pythagoras theorem (Baudha-yana theorem): In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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

Converse of Pythagoras theorem: In a triangle if the square of one side is equal to the sum of squares of the other two sides, then the angle opposite to the first side is a right angle and the triangle is a right angled triangle.

Find counter examples to disprove the statements: A quadrilateral with all sides are equal in a square.

Example for the sides of a Right angled triangle is………….

The longest side in a right triangle is…………..

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

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

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

VGS PUBLICATION-BRILLIANT-PROOFS IN MATHEMATICS-EXERCISE
  1. Conjecture are made based on

    Text Solution

    |

  2. The conjecture "If the perimeter of a rectangle increases then its are...

    Text Solution

    |

  3. A counter example to the statement "In any right triangle the square o...

    Text Solution

    |

  4. "A circle may be drawn with any centre and radius" is

    Text Solution

    |

  5. A false axiom results into a.....

    Text Solution

    |

  6. If in a collection of axioms, one axiom can be used to prove other axi...

    Text Solution

    |

  7. If a statement and its negation both are true, then it is a

    Text Solution

    |

  8. A process which can establish the truth of a mathematical statement ba...

    Text Solution

    |

  9. The product of any two consecutive even natural numbers is divisible b...

    Text Solution

    |

  10. Counter example to "2n^2 +11 is a prime" is

    Text Solution

    |

  11. Find counter examples to disprove the statements: A quadrilateral wit...

    Text Solution

    |

  12. We prove the statement "sum of interior angles of a triangle is 180^@"...

    Text Solution

    |

  13. Statement which are assumed to be true without proof are

    Text Solution

    |

  14. If x is odd, then 'x^2' is

    Text Solution

    |

  15. A sentence which is clearly true or false but not both is called a

    Text Solution

    |

  16. Which of the following is not a mathematical statements?

    Text Solution

    |

  17. A statement of idea which gives an explanation to a sense of observati...

    Text Solution

    |

  18. The great Indian mathematician is

    Text Solution

    |

  19. Which of the following subjects is based on inductive reasoning?

    Text Solution

    |

  20. Which of the following statement is always false?

    Text Solution

    |