Published by:
CGP EDU Academic Team
Published on: August 14, 2026
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 a maximum when the angle between these sides is π /3.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x + y = k constant
Area of triangle be A.
A = 
x 
A = 
x 
. 
Area is maximum when x = 
.
⇒ y = 
⇒ cos θ = 
= 
⇒ θ = 
.
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