If , , and are given in a triangle, and and are two possible values of the third side…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

If aa, bb, and AA are given in a triangle, and c1c_1 and c2c_2 are two possible values of the third side such that c12+c1c2+c22=a2c_1^2+c_1c_2+c_2^2=a^2, then AA is equal to (1) 30∘30^\circ (2) 60∘60^\circ (3) 90∘90^\circ (4) 120∘120^\circ

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