Greatest possible area

[crackgmat007]

Pls explain. Tx.

[ssmiles08]

The greatest base and height would be formed when the triangle is a right triangle.

so r = 1; base and height would both be 1

(1/2)*1*1 = 1/2

[crackgmat007]

Can we apply the 'inversly proportional' rule here. (base*height) as base increases, hieght increases? Thoughts pls!