Question

What is the maximum area of a triangle inscribed in a square?

Answer 1

let us take a square of side 'a' and a triangle of base 'b' and 'h'

1. b is always perpendicular to h

2.b can increase max to a i.e,

$b - > a$

3.similarly h can increase max to a i.e,

$h - > a$

4.area of triangle max

$= \frac{1}{2} \: b \times h$

i.e,

$\frac{1}{2} {a}^{2}$

#BAL

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