Of the given perimeter, the triangle having maximum area is

Maths Differentiation and Applications of Derivatives Maxima and Minima Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Isosceles triangle

Right angled triangle

Equilateral

None of these

Text Solution

Verified by Experts

The correct answer is:

First we observe that triangle ABC having base AB , the area of is greatest for which the altitude of C w . r . t . AB is greatest.

Let be the semi-vertical angle of such a triangle ABC .

area of the

Now S is maximum when or

i.e., triangle is equilateral.

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