Home
Class 12
MATHS
If length of three sides of a trapezium ...

If length of three sides of a trapezium other than base are equal to 10 cm, then find the area of the trapezium when it is maximum.

Text Solution

Verified by Experts

The correct Answer is:
`75sqrt(3)cm^(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

If the length of three sides of a trapezium other than base are equal to 10 cm. Than find the area of trapezium when it is maximum.

The three sides of a trapezium are equal, each being 6 cm long. Find the area of trapezium when it is maximum.

The measurements of the sides of a triangle are 20 cm, 30 cm and 40 cm. Find the area of this triangle.

If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

The base of a triangle is 4cm longer than its altitude. If the area of the triangle is 48 sq.cm then find its base and altitude.

If the lengths of the sides of a triangle are decided by the three thrown of a single fair die,then the probability that the triangle is of maximum area given that it is an isosceles triangle, is

A point source of light is kept at a distance of 15cm from a converging lens,on its optical axis.The focal length of the lens is 10cm and its diameter is 3cm ,A screen is placed on the other side of the lens ,perpendicular to the axis of lens,at a distance 20cm from it.Then find the area of the illuminated part of the screen?

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

Two sides of a triangle measure 9 cm and 10 cm. If the perimeter of the triangle is 36 cm, then its area is ………….. cm^(2)

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find local maximum and local minimum values of the function f given by...

    Text Solution

    |

  2. Find all the points of local maxima and local minima of the function f...

    Text Solution

    |

  3. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  4. Find the shortest distance of the point (0, c) from the parabola y=x^(...

    Text Solution

    |

  5. Let AP and BQ be two vertical poles at points A and B respectively. If...

    Text Solution

    |

  6. If length of three sides of a trapezium other than base are equal to 1...

    Text Solution

    |

  7. Prove that the radius of the right circular cylinder of greatest curve...

    Text Solution

    |

  8. Find the global maximum and minimum values of the function f given by ...

    Text Solution

    |

  9. Find absolute maximum and minimum values of a function f given by f(x...

    Text Solution

    |

  10. An Apache helicopter of enemy is flying along the curve given by y=x^(...

    Text Solution

    |

  11. A car starts from a point P at time t = 0 seconds and stops at point Q...

    Text Solution

    |

  12. A water tank has the shape of an inverted right circular cone with its...

    Text Solution

    |

  13. A man of height 2 metres walks at a uniform speed of 5 km/h away from ...

    Text Solution

    |

  14. Find the equation of the normal to the curve x^(2)=4y which passes thr...

    Text Solution

    |

  15. Find the equations of the tangent to the curve y=cos(x+y) which is par...

    Text Solution

    |

  16. Find intervals in which the function given by f(x)=(3)/(10)x^(4)-(4)/(...

    Text Solution

    |

  17. Show that the function f given by f(x)=tan^(-1)(sin x + cos x), x gt 0...

    Text Solution

    |

  18. A circular disc of radius 3 cm is being heated. Due to expansion, its ...

    Text Solution

    |

  19. An open topped box is to be constructed by removing equal squares from...

    Text Solution

    |

  20. Manufacturer can sell x items at a price of rupees (5-(x)/(100)) each....

    Text Solution

    |