NCERT Class 12-Mathematics: Chapter –6 Application of Derivatives Part 17
Glide to success with Doorsteptutor material for CBSE : fully solved questions with step-by-step explanation- practice your way to success.
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
Answer:
Let ABC be a triangle with
Also,
Let

ABC Triangle
Loading image•••
Also area of
Since,
For
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