Home
Class 11
MATHS
Find the triangle of the greatest area a...

Find the triangle of the greatest area among the right triangles of a given perimeter p.

Text Solution

Verified by Experts

The correct Answer is:
`p^2/(2(2+sqrt2)^2)`
Promotional Banner

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise SYNOPSIS|22 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-I|31 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-7.2 LONG ANSWER QUESTIONS)|3 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

In a right triangle

Find the area of the triangle.

Find the perimeter of the triangle.

Find the length of the line segment PR in the figure in terms of a. Find the perimeter of the triangle.

The radii r_(1),r_(2),r_(3) of the escribed circles of the triangle ABC are in H.P. If the area of the triangle is 24cm and its perimeter is 24 cm, then the length of its largest side is

Find the perimeter of the following triangle .

find the area of each of the following triangles.

Find the perimeter of the following triangle.

Find the area of each of the triangles.

AAKASH SERIES-MAXIMA & MINIMA-ADDITIONAL EXERCISE
  1. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

    Text Solution

    |

  2. If y = a log|x| + bx^(2) + x has extreme values at x = 2 and x = -4/3 ...

    Text Solution

    |

  3. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  4. A cubic function of x ahs maximum 10 and minimum -5//2, when x=-3 and ...

    Text Solution

    |

  5. Find the triangle of the greatest area among the right triangles of a ...

    Text Solution

    |

  6. Find the greatest rectangle that can be inscribed in x^2/a^2+y^2/b^2=1

    Text Solution

    |

  7. If the perimeter of a sector of a circle is constant then find the ang...

    Text Solution

    |

  8. Show that a conical tent of given capacity will require the least amou...

    Text Solution

    |

  9. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  10. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  11. An open box of maximum volume is made from a square piece of tin of si...

    Text Solution

    |

  12. ABCD is rectangle in which AB= 9cm , BC =6 cm . P is a point in CD suc...

    Text Solution

    |

  13. Find the point on the curve y = x^(2) + 7x + 2 which is closer to the ...

    Text Solution

    |

  14. Find the point on the curve y^2=4x which is nearst to the point (2,1)

    Text Solution

    |

  15. Find the shortest distance from (-6,0) to (a) 2x+y=3 (b) x^2-y^2+1...

    Text Solution

    |

  16. A jet of an enemy is flying along the curve y=x^2+2. A soldier is plac...

    Text Solution

    |

  17. A (0,a) ,B(0,b) be fixed points , P(x,0) a variable point. The angle a...

    Text Solution

    |

  18. Show that the area of a rectangle inscribed in a circle is maximum whe...

    Text Solution

    |

  19. Find the dimensions of the right circular cylinder with the greatest v...

    Text Solution

    |

  20. The sum of the height and diameter of the base of a right circular cyl...

    Text Solution

    |