Home
Class 14
MATHS
In the following diagram, ABCD is a trap...

In the following diagram, ABCD is a trapezium, whereas AD=DC=BC=1 unit and `angleADC=angleBCD=108^@`. Find the value of the line segment AB.

A

A)2

B

B)`sqrt3`

C

C)`sqrt5-1`

D

D)none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

In the given figure ABCD is a trapezium with AB || Dc and AD = BC prove that angleA=angleB

In the given figure ABCD is a trapezium with AB || Dc and AD = BC prove that angleC=angleD

ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@) . Find angles C and D of the trapezium.

In the following figure ABCD is a trapezium in which AB|| DC . Find the measdure of /_C .

If AB||DC and AD||BC Find the value of x and y

ABCD is a cyclic trapezium such that AD || BC. If angle ABC=70^(@) , then the value of angleBCD is :

In figure, ABCD is a trapezium in which AB I I DC. Find the length of DC.

In the given figure ABCD is a trapezium with AB || Dc and AD = BC prove that diagonal AC = diagonal BD

In the given figure , ABCD is a trapezium in which the parallel sides AB,CD are both perpendicular to BC. Find the area of the trapezium :

ABCD is a trapezium in which AB||CD and AD=BC (see figure). Show that angleA=angleB

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. Answer the following questions based on the information given below. ...

    Text Solution

    |

  2. Answer the following questions based on the information given below. ...

    Text Solution

    |

  3. In the following diagram, ABCD is a trapezium, whereas AD=DC=BC=1 unit...

    Text Solution

    |

  4. In a dart the reflex angle is 216^@ and the angle opposite the reflex ...

    Text Solution

    |

  5. A class eats 2/5 of chocolates on 1st day. On the 2nd day they eat 3/4...

    Text Solution

    |

  6. In the following quadrilateral ABCD, the four mid-points P,Q,R,S are j...

    Text Solution

    |

  7. In a rhombus ABCD, angleADC:angleBCD=1:2 and EF:BD=1:3, where E and F ...

    Text Solution

    |

  8. An isosceles trapezium whose parallel sides are in the ratio 1:4. . If...

    Text Solution

    |

  9. A 7xx24 rectangular thin wall has a 2xx2 square shaped window in such ...

    Text Solution

    |

  10. A trapezium inscribes a circle that touches all its sides and the line...

    Text Solution

    |

  11. A point O lies inside a square ABCD such that OA=3, OB=4 and OD=5, fin...

    Text Solution

    |

  12. In a triangleABC, CP and BQ intersect each other at R inside the trian...

    Text Solution

    |

  13. Which of the following statements is/are correct? A kite always has ...

    Text Solution

    |

  14. Which of the following statements is/are correct? The intersections ...

    Text Solution

    |

  15. What is value of [(3 × 3 × 3 × 3 × 3 × 3)^6 ÷ (3 × 3 × 3 × 3)^7× 3^4]?

    Text Solution

    |

  16. What will be selling price, if cost price is Rs. 120 and gain is 35%?

    Text Solution

    |

  17. A sold a car to B at a profit of 25%. B incurred loss of 15% while sel...

    Text Solution

    |

  18. In the following figure if ABCDE is a regular petagon, then ABCD is ne...

    Text Solution

    |

  19. If ratio of the areas of two squares is 1:4, the ratio of their perime...

    Text Solution

    |

  20. The perimeter of a square is 48cm. The area of rectangle is 4cm^2 less...

    Text Solution

    |