A Geometric-Side Triangle

★ 7/10trigonometry Geometric Progression Law of Cosines vectors

Problem

The triangle $ABC$ has perimeter $6$ , and its sides $a, b, c$ (opposite $A, B, C$ ) form a geometric sequence. Find the range of possible values of $\overrightarrow{BA}\cdot\overrightarrow{BC}$ .

Answer

Solution

Difficulty	7/10
Topics	trigonometry, Geometric Progression, Law of Cosines, vectors

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