Home
Class 14
MATHS
A string of length 24 cm is bent first i...

A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to :

A

`24 cm^(2)`

B

`60 cm^(2)`

C

`40 cm^(2)`

D

`28 cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - III|21 Videos
  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - IV|169 Videos
  • MENSURATION

    KIRAN PUBLICATION|Exercise Test Yourself|28 Videos
  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos
  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 Videos

Similar Questions

Explore conceptually related problems

A string of length 12 is bent first into a square PQRS and then into an isosceles triangle PQT by keeping the side PQ of the square as base.Then area of the Square PQRS: area of the triangle PQT =

One of the angles of a right-angled triangle is 15^(@) , and the hypotenuse is 1 metre. The area of the triangle (in square cm). Is

One of the angles of a right-an gled triangle is 15^(@) and the hy-potenuse is 1 metre.The area of the triangle (in square cm.) is

The base of an isosceles triangle is 48 cm and one of its equal sides is 30 cm. Find the area of the triangle

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

The perimeter of a right angled triangle is 24 cm. If its hypotenuse is 10 cm then area of this triangle is

Find the length of the hypotenuse in a right angled triangle where the sum of the squares of the sides making right angle is 169.

The difference between the area of a square and that of an equilateral triangle on the same base is 1/4 cm^2 What is the length of side of triangle ?

KIRAN PUBLICATION-MENSURATION-TYPE -II
  1. In Delta ABC and Delta PQR, angleB = angle Q, angleC = angle R. M is t...

    Text Solution

    |

  2. The diagonals of two squares are in the ratio of 3:7. What is the rati...

    Text Solution

    |

  3. A string of length 24 cm is bent first into a square and then into a r...

    Text Solution

    |

  4. ABCD is a square. Draw an equilateral triangle PBC on side BC consider...

    Text Solution

    |

  5. If D, E and F are the mid-points of the sides of an equilateral triang...

    Text Solution

    |

  6. The area of a rectangle is 60 cm^(2) and its perimeter is 34 cm, then ...

    Text Solution

    |

  7. The centroid of a triangle Delta ABC is G. If the area of DeltaABC = 7...

    Text Solution

    |

  8. In a trapezium ABCD, AB || CD, AB lt CD, CD = 6 cm and distance betwee...

    Text Solution

    |

  9. In a triangle ABC, AB = 8 cm, AC = 10 cm and angleB = 90^(@), then the...

    Text Solution

    |

  10. In figure, DE || BC. IF DE = 3 cm, BC = 6 cm and area of Delta ADE = 1...

    Text Solution

    |

  11. Delta ABC is a right angled triangle, the radius of its circumcircle i...

    Text Solution

    |

  12. Two equal circles intersect so that their centres, and the points at w...

    Text Solution

    |

  13. Two adjacent sides of a parallelogram are 21 cms and 20 cms. The diago...

    Text Solution

    |

  14. Delta ABC is an equilateral triangle and D and E are midpoints of AB a...

    Text Solution

    |

  15. The perimeters of a square and a rectangle are equal. If their area be...

    Text Solution

    |

  16. A rectangle with one side of length 4 cm. is inscribed in a circle of ...

    Text Solution

    |

  17. If O is the centroid and AD, BE and CF are the three medians of Delta ...

    Text Solution

    |

  18. Delta ABC is similar to Delta DEF. If the ratio of similar sides is k ...

    Text Solution

    |

  19. The height of an equilateral triangle is 18 cm. Its area is ?

    Text Solution

    |

  20. The length and breadth of a rectangular piece of a land are in a ratio...

    Text Solution

    |