2004 Putnam A2

For $i = 1,2$ let $T_i$ be a triangle with side lengths $a_i, b_i, c_i$,

and area $A_i$. Suppose that $a_1 \le a_2, b_1 \le b_2, c_1 \le

c_2$,

and that $T_2$ is an acute triangle. Does it follow that $A_1

\le A_2$?

对于 $i = 1,2$ 令 $T_i$ 为边长为 $a_i, b_i, c_i$ 的三角形，

和区域$A_i$。假设 $a_1 \le a_2, b_1 \le b_2, c_1 \le

c_2$,

$T_2$ 是一个锐角三角形。是否遵循 $A_1

\le A_2$？