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

The hypotenuse of a right-angled triangle is 13 cm. If one side of the remaining is 5cm greater than the other, they can be related with each other as:

A

` x+ (x+ 5) = 13`

B

` x^(2) + (x^(2) +5) = 13^(2)`

C

` x^(2) +(x+5) ^(2) = 13^(2)`

D

` x^(2) +( 5-x)^(2) =13^(2)`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations (VERY SHORT ANSWER TYPE QUESTIONS) |9 Videos
  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations ( SHORT ANSWER TYPE QUESTIONS ) |10 Videos
  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -1 ROOTS OF THE EQUATIONS ( LONG ANSWER TYPE QUESTION -II ) |9 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos
  • REAL NUMBERS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER ( EXERCISE 8.4 )|12 Videos

Similar Questions

Explore conceptually related problems

the perimeter of a right angled triangle is 30 cm and its hypotenuse is 13cm . Find the length of the other two sides.

The perimeter of right-angled triangle is 30 cm and its hypotenuse is 13 cm. Find the other two sides.

The hypotenuse of a right-angled triangle is 3sqrt(5) cm. If the smallest side is tripled and the larger side is doubled, the new hypotenuse becomes 15 cm. Find the length of each side.

In a right-angles triangle, hypotenuse is I and the remaining two sides are a m and n . Then the correct relation 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 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

If one of the sides and any other part (either an acute angle or any side) of a right angle triangle is known, the remaining sides and angles of the triangle can be determined. Do you agree? Explain with an example.

Represent the following situations with suitable mathematical equations. The hypotenuse of a right triangle is 25 cm. We know that the difference in lengths of the other two sides is 5 cm. We would like to find out the length of the two sides?

OSWAAL PUBLICATION-QUADRATIC EQUATIONS -TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations (MULTIPLE CHOICE QUESTIONS
  1. Sum of a number and its reciprocal is 5(1)/(5). Then the required equ...

    Text Solution

    |

  2. In the equations ax^(2) +bx +c=0 , if b=0 then the equations.

    Text Solution

    |

  3. The length of a rectangle is 4 cm more then the breadth. The area is 6...

    Text Solution

    |

  4. If the sum of the roots of a quadratic equations is -5 and the product...

    Text Solution

    |

  5. The product of the roots of the equations x^(2) + 5x+ (k+ 4) =0 i...

    Text Solution

    |

  6. The quadratic equations among the following is :

    Text Solution

    |

  7. The sum and product of the roots of the quadratic equation 4x^(2) + ...

    Text Solution

    |

  8. The hypotenuse of a right-angled triangle is 13 cm. If one side of the...

    Text Solution

    |

  9. If the roots of a quadratic equations are 0 and -(1)/( 2), the equatio...

    Text Solution

    |

  10. Twice the square of a number added to three times the number is equal ...

    Text Solution

    |

  11. Select the pure quadratic equations:

    Text Solution

    |

  12. The roots of an equation are +2 and -2 ,then the equations is a/an:

    Text Solution

    |

  13. The height of triangle is 4 cm more than the base. Its area is 30 sq. ...

    Text Solution

    |

  14. If an equation has only one root , then the equations is:

    Text Solution

    |

  15. If m and n are the roots of the equations x^(2) - 6x+ 2 =0 then the ...

    Text Solution

    |

  16. The quadratic equation whose roots are (3+-sqrt(5)) is :

    Text Solution

    |

  17. The sum and product of the roots of the equations 2x^(2) = 3x, respec...

    Text Solution

    |

  18. If the product of the roots of the equations x^(2) + 3x + q=0 is ze...

    Text Solution

    |

  19. Parabola is a curve obtained from:

    Text Solution

    |

  20. If m and n are the roots of the quadratic equations x^(2)- 6x+ 2 =0 ...

    Text Solution

    |