Question: For i = 1, 2, let T i be a triangle with side lengths a i , b i , c i , and area
For i = 1, 2, let Ti be a triangle with side lengths ai, bi, ci,
and area Ai. Suppose that a1, ≤ a2, b₁ ≤ b₂, C₁ ≤ c₂, and
that T₂ is an acute triangle. Does it follow that A1 ≤ A₂?
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