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Problem If Δ \Delta Δ A B C ABC A B C a 2 b 2 − 4 Δ 2 + b 2 c 2 − 4 Δ 2 + c 2 a 2 − 4 Δ 2 \sqrt{a^2b^2-4\Delta^2}+\sqrt{b^2c^2-4\Delta^2}+\sqrt{c^2a^2-4\Delta^2} a 2 b 2 − 4 Δ 2 + b 2 c 2 − 4 Δ 2 + c 2 a 2 − 4 Δ 2 a 2 + b 2 + c 2 a^2+b^2+c^2 a 2 + b 2 + c 2 a 2 + b 2 + c 2 2 \frac{a^2+b^2+c^2}{2} 2 a 2 + b 2 + c 2 a b cos C + b c cos A + c a cos B ab\cos C+bc\cos A+ca\cos B ab cos C + b c cos A + c a cos B a b sin C + b c sin A + c a sin B ab\sin C+bc\sin A+ca\sin B ab sin C + b c sin A + c a sin B Browse the problem library