max min

for a given constant perimeter which of the following triangles will have max area?
a)equilateral
b)right angled
c)scalene
d)isosceles?
i thought about it that by symmetry ,ans. will be a),but how do we numerically prove it?please explain

2 Answers

1
satyajit maurya ·

anybody there!!!!!!!!!!!

262
Aditya Bhutra ·

hint : use the result of AM-GM inequaity of (s-a),(s-b),(s-c).
and the condition when the equality occurs.

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