Second largest side

Geometry Level 4

In a scalene triangle A B C \triangle ABC , a = 5 a = 5 and sin A = 3 8 \sin A = \dfrac{3}{8} where a a is the side opposite A \angle A and 0 < A < π 2 0 < A < \dfrac{\pi}{2} . Given that b b is the second largest side of A B C \triangle ABC , what can be said about b ? b?


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5 < b < 25 3 5<b<\dfrac{25}{3} b = 40 3 b=\dfrac{40}{3} Insufficient information to draw conclusions about b b 25 3 < b < 40 3 \dfrac{25}{3} < b < \dfrac{40}{3}

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