In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

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Question

In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and

a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for

a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

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