Putnam 2004 A2

Session A

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 $A_1 \le A_2$ ?

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

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