Home
Class 12
MATHS
If the sum of lengths of hypotenuse and ...

If the sum of lengths of hypotenuse and a side of a right angled triangle is given, show that area of triangle is maximum, when the angle between them is `pi/3dot`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

If the sum of the lengths of the hypotenues and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is pi/3 .

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given,show that the area of the triangle is maximum when the angle between these sides is (pi)/(3).

If the sum of a side and hypotenuse of a right angled triangle is given then show that area of triangle will be maximum when the angle between side and the hypotenuse is pi//3 .

If the length of the hypotenuse of a right angled triangle is 10 cm, then what is the maximum area of such a right angled triangle?

The maximum area of a right angled triangle with hypotenuse h is

In the right triangle BAC, angle A=pi/2 and a+b=8 . The area of the triangle is maximum when angle C , is

Prove that the perimeter of a right-angled triangle of given hypotenuse is maximum when the triangle is isosceles

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that the least perimeter of an isosceles triangle in which a cir...

    Text Solution

    |

  2. Evaluate: int(x^2)/(x^4+x^2-2)\ dx

    Text Solution

    |

  3. If the sum of lengths of hypotenuse and a side of a right angled tr...

    Text Solution

    |

  4. Find the position vector of the foot of perpendicular and the perpe...

    Text Solution

    |

  5. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

    Text Solution

    |

  6. Evaluate : int0^(3/2)|xcospix|dx

    Text Solution

    |

  7. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

    Text Solution

    |

  8. In a game, a man wins Rs. 5 for getting a number greater than 4 and ...

    Text Solution

    |

  9. An urn contains 4 balls. Two balls are drawn at random from the urn...

    Text Solution

    |

  10. There are two types of fertilisers ‘A’ and ‘B’. ‘A’ consists of 12% ...

    Text Solution

    |

  11. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

    Text Solution

    |

  12. Five bad oranges are accidently mixed with 20 good ones. If four or...

    Text Solution

    |

  13. Use elementary column operation C2->C2+2C1 in the following matrix equ...

    Text Solution

    |

  14. Write the number of all possible matrices of order 2xx2 with each ent...

    Text Solution

    |

  15. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of x

    Text Solution

    |

  16. Find the vector equation of the plane with intercepts 3,-4 and 2 on x ...

    Text Solution

    |

  17. Find the coordinates of the point where the line through the points A(...

    Text Solution

    |

  18. Find the position vector of a point which divides the join of points w...

    Text Solution

    |

  19. Write the number of vectors of unit length perpendicular to both the ...

    Text Solution

    |

  20. The two adjacent sides of a parallelogram are 2 hat i-4 hat j-5 hat k ...

    Text Solution

    |