Home
Class 12
MATHS
If the sum of the lengths of the hypoten...

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/3dot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1F|3 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1A|9 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1D|8 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 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 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)/(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?

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

If the length of the hypotenuse of isosceles right angled triangle is 10 cm, then the length of the equal sides will be ………… .

The length of the two sides of a right-angled triangle are equal Find the length of the hypotenuse