NCERT Class 12-Mathematics: Chapter –6 Application of Derivatives Part 17

Glide to success with Doorsteptutor material for IEO Class-6: Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.

Download PDF of This Page (Size: 145K)

Long Answer (L.A.)

Question 25:

If the sum of the lengths of the hypotenuse 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


Let ABC be a triangle with



ABC triangle

ABC Triangle

Also area of



Again differentiating w.r.t. in Eq. (v) , we get

Which is less than zero.

Hence, area of the right angled triangle is maximum, when the angle between them is

Developed by: